{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Der algebraische Abschluss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Einführung"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wir werden in diesem Blatt untersuchen, wie man zu einem gegebenen Körper $K$ \"nach Wunsch\" neue Zahlen hinzufügen, um für polynomielle Gleichungen in einer Variable Lösungen zu bekommen. Etwa hat die Gleichung $x^2+1 =0$ keine reellen Lösungen, weil für jede reelle Zahl $r$ die Ordnungsrelation\n",
    "$$r^2 + 1 \\geq 1 > 0$$\n",
    "gilt. Insbesondere gibt es keine rationale Lösung von $X\n",
    "^2+1=0$. Was müssten wir zu $\\mathbb{Q}$ hinzufügen, um eine Lösung zu erhalten? Sie kennen wahrscheinlich schon die Antwort, natürlich die imaginäre Einheit $i$. Aber wie definiert man eine solche neue Zahl wie $i$ formal richtig? Das zu verstehen ist Ziel dieses Blattes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In dem letzten Abschnitt dieses Blattes werden Sie eine daraus hervorgehende Schritt-für-Schritt-Konstruktion des algebraischen Abschlusses kennenlernen. In der Rückblickaufgabe wird es Ihre Aufgabe sein, diese Konstruktion skizzenhaft zu erklären."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Gliederung"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### I. Polynome</b>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Zunächst werde ich Ihnen zeigen, wie man jedes Polynom $f$ (über einem beliebigen Körper $K$) in kleinste Bausteine zerlegen kann (<b>irreduzible Faktoren</b>). Diese Zerlegung ist gewissermaßen eindeutig."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### II. Zerfällungskörper"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wir werden dann sehen, wie man den Körper $K$ gezielt um Nullstellen dieser Elementarbausteine erweitern kann. Wiederholt man dieses Verfahren für alle Bausteine, erhält man eine sogenannte Körpererweiterung $L$ von $K$, also einen größeren Körper, in den man $K$ injektiv strukturerhaltend einbetten kann, über den $f$ komplett in Linearfaktoren zerfällt. Dieser heißt <b>Zerfällungskörper</b> von $f$ über $K$ und ist sogar eindeutig bis auf Isomorphie (was wir nicht zeigen werden)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### III. Der algebraische Abschluss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Danach werden wir der Frage nachgehen: Kann ich zu jedem Körper $K$ eine Körpererweiterung $\\overline{K}^{(1)}$ finden, in dem jedes Polynom über $K$ vollständig in Linearfaktoren zerfällt? Die Antwort ist ja. Ich werde Ihnen sogar eine mögliche Konstruktion vorstellen! Wir finden also zu jedem Körper $K$ eine Körpererweiterung $\\overline{K}^{(1)}$, die salopp gesagt alle Nullstellen von Polynomen über $K$ enthält.\n",
    "Diese Konstruktion enthält zwar sicher \"alle Nullstellen\" von Polynomen über $K$, aber wie verhält es sich mit Nullstellen von Polynomen über $\\overline{K}^{(1)}$? Anders gefragt: Zerfällt denn auch jedes Polynom über $\\overline{K}^{(1)}$ vollständig in Linearfaktoren? \n",
    "\n",
    "Man wiederhole das Verfahren über $\\overline{K}^{(1)}$, um eine Körpererweiterung $\\overline{K}^{(2)}$ finden, in dem jedes Polynom über $\\overline{K}^{(1)}$ vollständig in Linearfaktoren zerfällt. Damit erhalten wir die Kette von Körpererweiterungen\n",
    "\n",
    "$$ K = \\overline{K}^{(0)} \\hookrightarrow \\overline{K}^{(1)} \\hookrightarrow \\overline{K}^{(2)} \\hookrightarrow \\overline{K}^{(3)} \\hookrightarrow \\, ... $$ \n",
    "\n",
    "Definiert man nun den algebraischen Abschluss $\\overline{K}$ als die Vereinigung dieser Körper, so haben wir eine Körpererweiterung von $K$ gefunden, die nicht nur alle Polynome über $K$ vollständig in Linearfaktoren zerfallen lässt, sondern auch die Nullstellen aller ihrer \"eigenen\" Polynome enthält, das heißt, jedes Polynom  $\\overline{K}$ zerfällt in Linearfaktoren. Diese zusätzliche Eigenschaft nennen wir <b>algebraische Abgeschlossenheit</b>. Sie bedeutet, dass wir über $\\overline{K}$ mit dem \"Zerfällungskörpertrick\" keine neuen Zahlen mehr definieren können. Damit sind wir algebraisch an einer Endstation angekommen und um weitere \"Zahlen\" zu bekommen, müssen wir schon zu anderen Hilfsmitteln greifen. \n",
    "Etwa lässt sich vom algebraischen Abschluss von $\\mathbb{Q}$ aus mit topologischen Methoden der komplexe Zahlenkörper $\\mathbb{C}$ bilden, indem \"alle Grenzwerte\" von Cauchyfolgen hinzugenommen werden (<i>topologische Vervollständigung</i>)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "##### Spezialfall $K=\\mathbb{Q}$"
   ]
  },
  {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Den algebraischen Abschluss von $\\mathbb{Q}$ nennen wir den Körper der algebraischen Zahlen und notieren wir mit $\\mathbb{A}$. Dieser ist keine Teilmenge von $\\mathbb{R}$, da er etwa die imaginäre Zahl $i$ enthält; andererseits enthält er auch nicht ganz $\\mathbb{R}$, was man an einem einfachen Abzählbarkeitsargument bemerken kann. $\\mathbb{A}$ ist nämlich abzählbar als abzählbare Vereinigung abzählbarer Körper, andererseits ist $\\mathbb{R}$ bekanntlich überabzählbar. Also liegt $\\mathbb{A}$ irgendwo zwischen $\\mathbb{Q}$ und $\\mathbb{C}$ und hat keinen engen Zusammenhang mit $\\mathbb{R}$. \n",
    "\n",
    "<div>\n",
    "<img src=\"attachment:28b1ca18-07f5-4e55-99c0-cc1115c91132.png\" width=\"800\"/>\n",
    "</div>\n",
    "\n",
    "Für einen tieferen Einblick in dieses Thema empfehle ich Ihnen das Projekt \"Vervollständigung in topologischen Räumen\", wo der topologische Erweiterungsprozess für allgemeine Körper in Detail erklärt und als konkretes Beispiel die Konstruktion von $\\mathbb{R}$ aus $\\mathbb{Q}$ behandelt wird."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Grundbegriffe"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b> Seien $K$ und $L$ zwei Körper. Eine Abbildung $\\phi: K \\rightarrow L$ heißt <b>Körperhomomorphismus</b>, falls\n",
    "    $$ \\phi (0_K) = 0_L \\text{ und} $$\n",
    "    $$ \\phi (1_K) = 1_L$$\n",
    "    sowie\n",
    "    $$\\phi(x+y) = \\phi(x) + \\phi(y) \\text{ und}$$\n",
    "    $$\\phi(x \\cdot y ) = \\phi(x) \\cdot \\phi(y)$$\n",
    "    für alle $x,y \\in K$ gilt. \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dabei bezeichnet $0_K$ das Nullelement des Körpers $K$ und $1_K$ das Einselement des Körpers $K$. Dieselbe Konvention gilt für $0_L$ und $1_L$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b> Seien $K$ und $L$ zwei Körper. Existiert ein injektiver Körperhomomorphismus von $K$ nach $L$, so heißt $L$ <b>Körpererweiterung</b> von $K$; $K$ heißt <b>Stammkörper</b> von $L$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Um \"von $K$\" nicht schreiben zu müssen, schreibt man kurz auch: \"$L/K$ Körpererweiterung\". Die Voraussetzung der Injektivität kann man weglassen, da jeder Körperhomorphismus von $K$ nach $L$ automatisch injektiv ist. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Betrachten Sie die Körpererweiterung $L/K$. Es sei $\\theta$ ein Körperhomomorphismus von $K$ nach $L$. Warum ist $\\theta$ injektiv? \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Einen Körperhomomorphismus von einem Körper $K$ in einen Körper $L$ nennen wir eine <b>Einbettung von $K$ in $L$</b>. Im Allgemeinen kann es verschiedene Einbettungen geben"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Jeder Körper ist eine Körpererweiterung von sich selbst mit Einbettung $\\text{id}$. Betrachten Sie die komplexe Konjugation $\\kappa: \\mathbb{C} \\rightarrow \\mathbb{C}$, dann ist $\\kappa$ ein Körperautomorphismus von $\\mathbb{C}$. Insbesondere ist $\\kappa \\neq \\text{id}$ eine Einbettung von $\\mathbb{C}$ in $\\mathbb{C}$. Also existieren mehrere Einbettungen von $\\mathbb{C}$ in $\\mathbb{C}$. Einbettungen eines Körpers in sich selbst (Körperautomorphismen) sind sogenannte Elemente der <i>Galoisgruppe</i> des Körpers; das ist ein Thema für sich, welches im Projekt \"Galoistheorie\" vertieft wird.  \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Da die Einschränkung dieser Einbettung auf sein Bild ein Körper<i>iso</i>morphismus darstellt, können wir den Körper $K$ mit seinem Bild, dem Bild der Einbettung verstehen ($\\phi(K)$). Körpereinbettungen können wir also auch als Teilmengenrelation betrachten. Beispielsweise kann man den Körper der reellen Zahlen $\\mathbb{R}$ als Körpererweiterung des Körpers der rationalen Zahlen $\\mathbb{Q}$ verstehen, oder aber einfach als Obermenge. Zerbrechen Sie sich über diesen feinen Unterschied nicht den Kopf. Wir sammeln zwei weitere grundlegende Eigenschaften von Körpererweiterungen:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. Die Körpererweiterungsrelation ist transitiv: Seien $K \\subseteq M \\subseteq L$ Körper. Ist $M/K$ eine Körpererweiterung sowie $L/M$ eine Körpererweiterung, so ist $L/K$ eine Körpererweiterung. (Denn die Verkettung von Körperhomomorphismen ist ein Körperhomomorphismus und Körperhomomorphismen sind immer injektiv nach obigem Denkanstoß.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. Jede Körpererweiterung $L/K$ kann als $K$-Vektorraum aufgefasst werden. Sei dafür $\\phi$ der injektive Körperhomomorphismus von $K$ nach $L$. Dann ist $L$ mit der Skalarmultiplikation \n",
    "$$ K \\times L \\rightarrow L,$$\n",
    "$$(k,l) \\mapsto \\phi (k) \\cdot l$$ \n",
    "ein $K$-Vektorraum, wobei $\\cdot$ die Multiplikation im Körper $L$ bezeichnet. Folgendes Beispiel mag dem Verständnis helfen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "    <b>Denkanstoß:</b> Überlegen Sie, welche Körpererweiterungen Sie schon kennen. <i>Hinweis:</i> Sie kennen zweifellos mindestens drei. \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "<u><b>Beispiel:</b></u> <br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Es sei $K$ ein Körper. $K[X]$ bezeichnet die Menge aller Polynome in einer Variable, $X$, mit Koeffizienten aus dem Körper $K$. Bekanntermaßen ist $K[X]$ ein nullteilerfreier, kommutativer Ring mit Eins. Das einzige, was fehlt, sodass $K[X]$ zu einem Körper würde, sind die multiplikativen Inversen. Betrachten wir die Menge aller formalen Brüche mit Polynomen im Zähler und Polynomen im Nenner als Erweiterung des Rings $K[X]$, so ist diese Menge ein Körper, der <b>rationale Funktionenkörper über $K$</b>. Dieser ist eine Körpererweiterung von $K$. Wir betrachten beispielsweise $K=\\mathbb{Q}$. Ein etwaiges Element des rationalen Funktionenkörpers über $\\mathbb{Q}$ ist\n",
    "$$ \\frac {2X + \\frac{1}{4}}{-33X^2 + \\frac{14}{9}}. $$\n",
    "Das Körperelement $\\frac{4} {3} \\in \\mathbb{Q}$ \"identifizieren\" wir mit dem konstanten Polynom $\\frac{4} {3} \\in \\mathbb{Q}[X]$, welches in dem rationalen Funktionenkörper über $\\mathbb{Q}$ liegt. Gerade diese \"Identifizierung\" ist der injektive Körperhomomorphismus von $\\mathbb{Q}$ in den rationalen Funktionenkörper über $\\mathbb{Q}$. Somit ist der rationale Funktionenkörper über $\\mathbb{Q}$ eine Körpererweiterung von $\\mathbb{Q}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Überlegen Sie, warum die Multiplikation von formalen Brüchen von Polynomen mit der gewöhnlichen Addition und Multiplikation von Körperelementen übereinstimmt. Anders gefragt: Warum ist die injektive Einbettung von einem Körper in seinen zugehörigen rationalen Funktionenkörper verträglich mit $+$ und $\\cdot$, also ein Körperhomomorphismus? Warum erfüllt der rationale Funktionenkörper zusammen mit dem oben beschriebenen Skalarprodukt die Vektorraumaxiome?\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "##### Bemerkung"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Formal ist die \"Menge aller formalen Brüche über $K$\" zusammen mit den mit der Addition und Multiplikation im Polynomring $K[X]$ verträglichen Operationen $+$ und $\\cdot$ der sogenannte <b>Quotientenkörper</b> zu dem Integritätsbereich $K[X]$. Man kann zu jedem gegebenen Integritätsbereich (nullteilerfreier kommutativer Ring mit Eins) $R$ den zugehörigen Quotientenkörper $\\text{Quot}(R)$ bilden. Dazu betrachtet man bestimmte Äquivalenzklassen auf $R$ und definiert die Addition und Multiplikation dieser Äquivalenzklassen vertreterweise. Bei Interesse können Sie sich gerne hier einlesen: https://www.wikiwand.com/de/Quotientenk%C3%B6rper."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### Körpererweiterungsgrad"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Die \"Größe\" einer Körpererweiterung kann man an ihrer Dimension als Vektorraum des Stammkörpers messen, was uns zur folgenden Definition führt."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b> Es sei $L/K$ eine Körpererweiterung. Dann ist der <b>Körpererweiterungsgrad</b> $[L : K]$ definiert als die Dimension der Körpererweiterung $L$ als Vektorraum über den Stammkörper $K$, das heißt:\n",
    "    $$[L : K] := \\text{dim}_{K}(L) \\in \\mathbb{N} \\cup \\{ \\infty \\}.$$\n",
    "    Ist $[L : K] < \\infty$, so nennen wir die Körpererweiterung $L / K $ <b>endlich</b>.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dieser Grad ist im folgenden Sinne multiplikativ: Es seien $L/M$ und $M/K$ Körpererweiterungen, so gilt:\n",
    "$$\\text{dim}_{K}(L) = \\text{dim}_{M}(L) \\cdot \\text{dim}_{K}(M),$$\n",
    "wobei $\\infty \\cdot \\infty := \\infty \\cdot n := n \\cdot \\infty := \\infty$ für alle $n \\in \\mathbb{N}$. Diese Identität heißt der <b>Gradsatz</b>."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "##### Beweisidee für den Gradsatz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Der Beweis für den unendlichen Fall, also dass einer der Körpererweiterungen unendlich ist, ist klar: Ist $L$ als $M$-Vektorraum schon unendlichdimensional, das heißt es existiert eine unendliche bezüglich $M$-Linearkombinationen linear unabhängige Menge $B \\subseteq L$, so ist $B$ insbesondere bezüglich $K$-Linearkombinationen linear unabhängig, also ist $L$ als $K$-Vektorraum unendlichdimensional. Ist $M$ als $K$-Vektorraum unendlichdimensional, so existiert eine bezüglich $K$-Linearkombinationen linear unabhängige Menge $B \\subseteq M$. Intuitiv gesprochen geht das Argument wie folgt: $M$ ist \"Teilmenge\" von $L$, also ist $B$ eine unendliche $K$-linear unabhängige \"Teilmenge\" von $L$, also ist $L$ unendlichdimensional als $K$-Vektorraum. Genauer: Ist $\\phi$ die Einbettung von $M$ in $L$, so ist $\\phi(M) \\subseteq B$ eine unendliche $K$-linear unabhängige Teilmenge von $L$, also ist $L$ als $K$-Vektorraum unendlichdimensional.\n",
    "\n",
    "Der Beweis für den endlichen Fall ist einfach nachzuweisen: Seien $m:=[L : M] \\in \\mathbb{N}$, $n:=[M : K] \\in \\mathbb{N}$, $B = \\{ b_1,...,b_n \\} \\subseteq M$ eine $K$-Basis von $M$, $C = \\{c_1,...,c_m \\} \\subseteq L$ eine $M$-Basis von $L$ und $\\phi$ die Körpereinbettung von $M$ nach $L$, so ist \n",
    "$$ B \\times C := \\{ b_i \\cdot \\phi(c_j) \\, \\vert \\, 1 \\leq i \\leq n, 1 \\leq j \\leq m \\}$$\n",
    "eine $K$-Basis von $L$ (erzeugende und linear unabhängige Eigenschaft nachrechnen). Also ist\n",
    "$$[L : K ] = \\vert B \\times C \\vert = n \\cdot m =  [L : M ] \\cdot [M : K],$$\n",
    "was zu zeigen war."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Weisen Sie nach, dass $B \\times C$ tatsächlich eine $K$-Basis von $L$ ist.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### Algebraische Erweiterungen"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In dem allgemeinen Setting, dass $K$ ein Körper und $L$ eine Körpererweiterung von $K$ ist, nennen wir eine Element $\\alpha \\in L$ <b>algebraisch über $K$</b>, wenn ein $p \\in K[X]$ existiert mit $p(\\alpha)=0$. Präziser:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b> Es sei $L/K$ eine Körpererweiterung und $\\phi: K \\rightarrow L $ die injektive Einbettung von $K$ in $L$. Es sei $\\tilde \\phi : K[X] \\rightarrow L[X]$ die Fortsetzung von $\\phi$ auf $K[X]$ im folgenden Sinne: Für alle $n \\in \\mathbb{N}$ und $a_0,...,a_n \\in K$ ist\n",
    "$$ \\tilde \\phi \\left( \\sum_{i=0}^n a_i X^i \\right) := \\sum_{i=0}^n \\phi(a_i) X^i \\in L[X].$$\n",
    "\n",
    "Ein Element $\\alpha \\in L$ heißt <b> algebraisch über $K$</b>, falls ein $0 \\neq p \\in K[X]$ existiert, sodass $\\alpha$ eine Nullstelle von $\\tilde \\phi( p) \\in L[X]$ ist. Wir nenen in dem Falle $p$ einen <b>Zeugen</b> von $\\alpha$\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Anders ausgedrückt:\n",
    "$$ \\alpha \\in L \\text{ algebraich über } K \\Leftrightarrow \\exists p \\in K[X]: (x-\\alpha) \\, \\vert \\, \\tilde \\phi(p) \\text{ in } L[X].$$\n",
    "Insbesondere sind alle Elemente aus $K$ algebraisch über $K$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Intuitiv können wir diese Definition wie folgt deuten: $K$ ist eine \"Teilmenge\" von $L$, also ist $K[X] $ eine \"Teilmenge\" von $L[X]$ und nun heißt $\\alpha \\in L$ algebraisch über $K$, wenn es ein Polynom $0 \\neq p \\in K[X]\\subseteq L[X]$ gibt, sodass $\\alpha \\in L$ eine Nullstelle von $p \\in L[X]$ ist."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b> Es sei $L/K$ eine Körpererweiterung. Ist jedes Element von $L$ algebraisch über $K$, so heißt $L/K$ eine <b>algebraische Körpererweiterung</b>.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "##### Endliche Körpererweiterungen sind algebraisch"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='def_minpol'></a>\n",
    "Vergleichen wir den Begriff der algebraischen Körpererweiterung mit dem Begriff der Endlichkeit einer Körpererweiterung, kommen wir zu der Feststellung: Endliche Körpererweiterungen sind algebraisch. Denn sei $\\alpha \\in L$, so existiert ein minimales $n \\in \\mathbb{N}_0$, sodass $\\{\\alpha^i \\, \\vert \\, 0 \\leq i \\leq n \\} = \\{ 1, ..., \\alpha^n \\}$ $K$-linear abhängig wird, es gibt also eine nichttriviale Linearkombination \n",
    "$$ \\sum_{i=0}^n a_i \\alpha^i = 0$$\n",
    "und $0 \\neq p := \\sum_{i=0}^n a_i X^i \\in K[X]$ ist ein Zeuge von $\\alpha$. (Also ist $\\alpha \\in L$ algebraisch über $K$. Da $\\alpha$ beliebig aus $L$ gewählt worden war, ist jedes Element von $L$ algebraisch über $K$. Also ist $L/K$ eine algebraische Körpererweiterung.) Das normierte Nichtnullpolynom $\\tilde p := \\frac{1}{a_n} p \\in K[X]$ heißt das <b>Minimalpolynom</b> von $\\alpha$ über $K$. Wir schreiben dazu $\\mu_{\\alpha,K}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "##### Hintereinanderausführung"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Tatsächlich ist die Hintereinanderausführung algebraischer Körpererweiterungen wieder eine algebraische Körpererweiterung. Das ist eine Folgerung aus folgendem Satz, dessen Beweis den Rahmen dieses Blattes sprengt:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Es seien $M/K$ und $L/M$ Körpererweiterungen. Dann ist äquivalent:\n",
    "\n",
    "(i) $M/K$ und $L/M$ sind algebraisch.\n",
    "  \n",
    "(ii) $L/K$ ist algebrasich."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Diese Aussage dürfen Sie gerne in der Rückblickaufgabe verwenden."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "## I. Polynome"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Es sei $K$ ein Körper. In diesem Abschnitt betrachten wir den Polynomring $K[X]$. Sie kennen die <b>Gradfunktion</b> $\\text{deg}: K[X] \\backslash \\{ 0 \\} \\rightarrow \\mathbb{N}_0$, die jedem Polynom $p$ den maximalen Exponent $n$ zuordnet, für den der Koeffizient vor $x^n$ von $p$ ungleich null ist. In den Grundvorlesungen haben Sie (bezüglich dieser Gradfunktion) die <b>Division mit Rest</b> bewiesen. Diese besagt, dass man zu einem Polynom $f \\in K[X]$ und einem Nichtnullpolynom $g \\in K[X]$ eindeutige Polynome $q,r \\in K[X]$ findet, sodass $$ f = q \\cdot g + r$$ gilt, wobei $\\text{deg}(r) < \\text{deg}(g)$ oder $r=0$ gilt."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In der allgemeinen Ringtheorie nennt man einen nullteilerfreien, kommutativen Ring mit Eins $(R,+,\\cdot)$ euklidisch, wenn eine <b>Bewertungsfunktion</b> $\\sigma: R \\rightarrow \\mathbb{N}_0$ existiert, bezüglich dem die Division mit Rest gilt. Solche sogenannten euklidischen Ringe sind eine sehr spezifische Klasse von Ringen, die in folgender Weise mit anderen Ringtypen zusammenhängen:"
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:df0ab20e-ba80-4b6d-8bdd-996b173a9bb9.png\" width=\"600\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vielleicht haben Sie einige dieser Begriffe schon gesehen? Wir interessieren uns für den Begriff \"faktorieller Ring\". Er gibt uns im Falle $R=K[X]$ das, was wir wollen, und zwar eine Zerlegung von Polynomen in unzerlegbare Elementarbausteine, sogenannte irreduzible Polynome."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b>\n",
    "    Ein Polynom $p \\in K[X]$ heißt <b>irreduzibel</b>, falls $p$ ein nicht-konstantes Polynom ist und kein Produkt von zwei nicht-konstanten Polynomen $q,r \\in K[X]$ existiert mit $p = q \\cdot r$. \n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Da der Grad des Produkts zweier Polynome gerade die Summe der Grade der Faktoren ist, folgt aus obiger Definition, dass Polynome vom Grad 1 immer irreduzibel sind. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Die obige Definition ist ein Spezialfall der allgemeinen Definition für kommutative Ringe mit Eins: Ein Element in einem Ring $(R,+,\\cdot)$ heißt irreduzibel, wenn es von dem Nullelement des Rings verschieden ist, keine Einheit ist und sich nicht als Produkt von zwei Nichteinheiten schreiben lässt („es lässt sich nicht weiter reduzieren“). Überlegen Sie, warum die obige Definition ein Spezialfall dieser Definition ist. \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Überlegen Sie sich ein paar Beispiele für irreduzible Polynome mit Grad größer 1 in $\\mathbb{Q}[X]$ und $\\mathbb{R}[X]$. Welche Polynome aus $\\mathbb{C}[X]$ sind irreduzibel?\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Tatsächlich kann jedes Polynom $f \\in K[X]$ in irreduzible Bestandteile zerlegt werden, indem wir sukzessiv Teiler abspalten, bis kein Faktor sich weiter reduzieren lässt."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<u><b>Beispiel:</b></u> <br>"
   ]
  },
  {
   "attachments": {
    "6584e869-5ea0-4caf-ba2a-d86b724c3892.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:6584e869-5ea0-4caf-ba2a-d86b724c3892.png\" width=\"1000\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "    <b>Denkanstoß:</b> Warum sind die Blätter des obigen Baums irreduzible Polynome? <i>Hinweis:</i> Nutzen Sie den Satz über rationale Nullstellen (https://de.wikipedia.org/wiki/Satz_%C3%BCber_rationale_Nullstellen).\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Formal definieren wir eine Zerlegung eines Polynoms in irreduzible Bestandteile wie folgt: "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b> Es sei $0 \\neq f \\in K[X]$. Wir sagen, $f$ besitzt eine <b>Irreduziblenzerlegung</b>, wenn $f$ als Produkt von endlich vielen irreduziblen Polynomen und einer Einheit geschrieben werden kann, das heißt:\n",
    "    $$ \\exists n \\in \\mathbb{N}_0 \\, \\exists q_1,...,q_n \\in K[X] \\, \\exists a \\in K \\backslash \\{ 0 \\}: (\\forall 1 \\leq k \\leq n: q_k \\text{ irreduzibel}) \\land f = a \\prod_{i=1}^n q_i .$$\n",
    "    Insbesondere besitzt jedes konstante Polynom $f \\neq 0$ eine Irreduziblenzerlegung. Wir nennen die Polynome $q_i$ die <b>irreduziblen Faktoren</b> von $f$ (für $1 \\leq i \\leq n$). \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe 1\n",
    "***\n",
    "Beweisen Sie induktiv: Jedes Nichtnullpolynom $0 \\neq f \\in K[X]$ besitzt eine Irreduziblenzerlegung.\n",
    "    \n",
    "<i>Hinweis</i>: Verwenden Sie die Induktionsbehauptung $A(n)$: \"$\\forall 0 \\neq f \\in K[X]: \\text{deg}(f) \\leq n \\Rightarrow f$ hat eine Irreduziblenzerlegung\". Machen Sie im Induktionsschritt eine Fallunterscheidung und nutzen Sie die Ihnen bekannten Eigenschaften der Gradfunktion.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Algorithmus zur Bestimmung einer Irreduziblenzerlegung?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Für Polynome mit geringem Grad ist folgendes Kriterium eine einfache Möglichkeit, ein Polynom auf Irreduzibilität zu untersuchen.\n",
    "\n",
    "\"Ein Polynom $p \\in K[X]$ vom Grad 2 oder 3 ist genau dann irreduzibel, wenn $p$ keine Nullstelle in $K$ besitzt.\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "    <b>Denkanstoß:</b> Überlegen Sie sich, warum das stimmt. Eine Richtung gilt immer, unabhängig vom Grad des Polynoms. Welche ist das? Fällt Ihnen ein Gegenbeispiel dieser Charakterisierung für Polynome vom größeren Grad ein? (Tipp: Quadrieren)\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Damit kann man für Polynome über endliche Körper mit Grad kleinergleich 3 in endlich vielen Schritten bestimmen, ob diese irreduzibel sind. Wir haben also einen <i>Algorithmus</i> zur Verfügung: Man setze nacheinander jedes Element des Körpers ein. Kommt niemals null raus, so ist das Polynom nullstellenfrei, also irreduzibel."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "    <b>Denkanstoß:</b> Bestimmen Sie alle normierten irreduziblen Polynome vom Grad kleinergleich zwei in $\\mathbb{F}_3[X]$. (Hilfreich für das nächste Beispiel.)\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Auch für Polynome über Teilkörper von $\\mathbb{C}$ kann man algorithmisch die Irreduzibilität oder Nicht-Irreduzibilität eines Polynoms über eine vollständige Nullstellenuntersuchung bestimmen, denn mit der p-q-Formel/der Mitternachtsformel für Polynome vom Grad 2 oder den <i>Cardanischen Formeln</i> für Polynome vom Grad 3 lassen sich in endlich vielen Rechenschritten alle Nullstellen bestimmen. Im Allgemeinen, also für Polynome vom Grad größer 3, reicht selbst eine vollständige Nullstellenermittlung nicht, um die Irreduzibilität zu untersuchen, und man muss auf andere Methoden zurückgreifen, etwa das <i>Eisensteinkriterium</i>."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Eindeutigkeit der Irreduziblenzerlegung"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Haben wir eine Irreduziblenzerlegung eines Nichtnullpolynoms $f$ gefunden, so ist klar, dass wir die irreduziblen Faktoren frei skalieren können mit Skalaren aus $ K \\backslash \\{ 0 \\} $ und auch ihre Reihenfolge ändern können. Polynome, die sich nur durch eine Einheit unterscheiden, nennen wir <b>assoziiert</b>."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b> Zwei Polynome $p,q \\in K[X]$ heißen <b>assoziiert</b>, wenn ein $a \\in K \\backslash \\{ 0 \\} $ existiert mit $p = a \\cdot q$. Wir schreiben dazu $p \\sim q$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Überlegen Sie, warum die Teilbarkeitsrelation invariant unter Assoziation ist. Konkret: Seien $p,q \\in K[X]$ assoziiert und $f \\in K[X]$. Dann gilt $f \\, \\vert \\, p$ genau dann, wenn $f  \\, \\vert \\, q$ gilt. Überlegen Sie, warum daher zu einem irreduziblen Polynom assozierte Polynome auch irreduzibel sind. \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Es sei ein irreduzibles Polynom $p = \\sum_{i=0}^n a_ix^i \\in K[X]$ vom Grad $n \\in \\mathbb{N}$ gegeben. Was ist das eindeutige assoziierte <i>normierte</i> irreduzible Polynom?\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Die Irreduziblenzerlegung im Polynomring $K[X]$ ist bis auf die oben erörterten Skalierungs- und Permutationsfreiheiten eindeutig. Formal definiert man Eindeutigkeit wie folgt:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b> Das Polynom $0 \\neq f \\in K[X]$ besitzt eine <b>eindeutige Irreduziblenzerlegung</b>, wenn jede Irreduziblenzerlegung von $f$ gleich viele irreduzible Faktoren besitzt und diese derart permutiert werden können, dass die $i$-ten Faktoren assoziiert sind.  \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "<u><b>Beispiel:</b></u> <br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In $\\mathbb{F}_2 = \\{ 0,1 \\} $ ist das einzige Nichtnullelement die Eins $1$, also besteht die einzige Skalierungsfreiheit darin, die irreduziblen Faktoren mit $1$ zu multiplizieren. Daher unterscheiden sich Irreduziblenzerlegungen in $\\mathbb{F}_2[X]$ einzig durch Permutation.\n",
    "\n",
    "In $\\mathbb{F}_3[X] = \\{ 0,1,2 \\} $ existieren echte Skalierungsmöglichkeiten: Das Element $2 \\in \\mathbb{F}_3 \\backslash \\{ 0 \\}$ ist selbstinvers. Somit können irreduzible Faktoren paarweise mit $2$ multipliziert werden, ohne das Resultat der Multiplikation zu ändern. Betrachte beispielsweise die irreduziblen Polynome $X+1$ und $X^2+X+2$. Dann gilt\n",
    "$$(X+1) \\cdot (X^2+X+2) = X^3 + 2X^2 + 2 =:f.$$\n",
    "Damit ist klar, dass $(X+1) \\cdot (X^2+X+2)$ eine Irreduziblenzerlegung von $f$ ist. Da $2 \\neq 0$ in $\\mathbb{F}_3$, sind auch die Polynome\n",
    "$$2 \\cdot (X+1) = 2X +2 $$\n",
    "und\n",
    "$$2 \\cdot (X^2+X+2) = 2X^2 + 2X +1$$\n",
    "irreduzibel und es folgt mit der Kommutativität und Assoziativität der Multiplikation in $\\mathbb{F}_3[X]$:\n",
    "$$ (2X + 2) \\cdot (2X^2 + 2X +1 ) = (2 \\cdot 2) \\cdot  ( (X+1) \\cdot (X^2+X+2) ) = (X+1)(X^2+X+2)=f.$$ \n",
    "Damit ist auch $(2X + 2) \\cdot (2X^2 + 2X +1 )$ eine Irreduziblenzerlegung von $f$. Ebenso ist $(2X^2 + 2X +1 ) \\cdot (2X + 2)$ eine Irreduziblenzerlegung von $f$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Beweis der Eindeutigkeit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Die Eindeutigkeit der Irreduziblenzerlegung in $K[X]$ kann über eine kurz und knappe Induktion gezeigt werden. Betrachte dazu zwei Irreduziblenzerlegungen,\n",
    "$$ a \\prod_{i=1}^n p_i \\text{ und } b \\prod_{j=1}^m q_j,$$\n",
    "eines Polynoms $0 \\neq f \\in K[X]$. Ohne Einschränkung sei $m \\geq n$. Definiere $a_0 := b^{-1} \\cdot a \\in K \\backslash \\{ 0 \\}$, dann gilt: \n",
    "$$ a_0 \\prod_{i=1}^n p_i = \\prod_{j=1}^m q_j.$$\n",
    "Wenn wir wissen, dass irreduzible Elemente <b>prim</b> sind, können wir aus der obigen Gleichheit folgern, dass $p_1$ eines der rechten irreduziblen Faktoren $q_j$ teilt. Damit können wir induktiv weiter verfahren."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b> Ein Polynom $p \\in K[X]$ heißt <b>prim</b>, falls $p$ ein nicht-konstantes Polynom ist und für alle $f,g \\in K[X]$ mit $p \\, \\vert \\, fg$ gilt, dass $p$ Teiler von $f$ oder Teiler von $g$ ist. \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Freiwillige Aufgabe\n",
    "***\n",
    "Beweisen Sie, dass irreduzible Polynome prim sind.\n",
    "    \n",
    "<i>Hinweis</i>: Betrachten Sie Polynome $f,g \\in K[X]$ mit $ p \\, \\vert \\, fg$. Betrachten Sie den $\\text{ggT}(f,p)$ und machen Sie eine Fallunterscheidung. Nutzen Sie für den Fall $\\text{ggt}(f,p)=1$ das Lemma von Bézout.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sei als $j_1 \\in \\{ 1,...,m\\}$ mit $p_1 \\, \\vert \\, q_{j_1}$, dann existiert ein $u_1 \\in K[X]$ mit $u_1 p_1 = q_{j_1}$. Dann ist $u_1 \\in K \\backslash \\{ 0 \\}$ (Warum?). Damit ist $p_1 \\sim q_{j_1}$. Durch Teilen auf beiden Seiten durch $q_{j_1}$ erhält man mit $a_1 := u_0^{-1} a_0 \\in K \\backslash \\{ 0 \\}$ die Gleichheit\n",
    "$$ a_1 \\prod_{i=2}^n p_i = \\prod_{j=1, j \\neq j_1}^m q_j.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Nach endlich vielen Schritten kommen wir für ein $a_n \\in K \\backslash \\{ 0 \\}$ auf die Gleichheit $\\ast$:\n",
    "$$ a_n =  \\prod_{j=1, j \\neq j_1,..., j \\neq j_n }^m q_j.$$\n",
    "(Erinnere: Das leere Produkt ist definiert als $1$.)\n",
    "Da $a_n \\in K[X] $ ein konstantes Polynom ist, für alle $f,g \\in K[X]$ die Gleichheit $\\text{deg}(f \\cdot g) = \\text{deg}(f)+\\text{deg}(g)$ für die Gradfunktion gilt und irreduzible Polynome $q$ positiven Grad haben, folgt aus $\\ast$:\n",
    "$$ \\{ 1,...,m \\} \\backslash \\{j_1,...,j_n \\} = \\emptyset.$$\n",
    "Also ist $n \\geq m$. Da wir anfangs $m \\geq n$ festgelegt haben, folgt $m = n$. Im $i$-ten Schritt haben wir für $p_i$ ein $q_{j_i}$ gefunden für ein $j_i \\in {1,...,m} \\backslash \\{j_1,...,j_{i-1} \\}$, sodass $p_i \\sim q_{j_i}$. Die Abbildung\n",
    "$$\\sigma : \\{1,...,n \\} \\rightarrow \\{1,...,n \\}, \\, i \\mapsto j_i$$\n",
    "ist nach Konstruktion eine Permutation. Also haben wir die Assoziiertheit der irreduziblen Faktoren bezüglich einer geeigneten Permutation gezeigt."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Überlegen Sie sich, wie sich die obige Argumentation zur Eindeutigkeit der Irreduziblenzerlegung formal richtig als Induktion aufschreiben lässt.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wir bekommen also das Resultat:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>Im Polynomring $K[X]$ gibt es für jedes Nichtnullpolynom eine eindeutige Irreduziblenzerlegung.</b>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dies ist gerade die auszeichnende Eigenschaft von faktoriellen Ringen, wenn man die allgemeinere Definition für Irreduzibilität einsetzt."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "## II. Zerfällungskörper"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wir haben im obigen Abschnitt gelernt, dass jedes Polynom über einen Körper $K$ als ein Produkt von irreduziblen Faktoren geschrieben werden kann. Nun wollen wir mit diesen Faktoren weiterarbeiten."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Es sei $K$ ein Körper und $f= \\sum_{i=0}^n f_iX^i  \\in K[X]$ irreduzibel. Dann hat $f$ keine Nullstellen in $K$, denn wäre $\\alpha \\in K$ eine Nullstelle von $f$, so wäre $f$ durch $(X-\\alpha)$ teilbar."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Machen Sie sich dies einmal klar mit der Division mit Rest.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wir wollen in diesem Abschnitt eine minimale Körpererweiterung $L$ von $K$ finden, sodass $f$ in $L[X]$ in Linearfaktoren zerfällt. Dazu werden wir den Polynomring $K[X]$ mit einer ganz bestimmten Äquivalenzrelation ausstatten. Der resultierende Faktorring wird, ähnlich wie im Beispiel des Kapitels \"Grundbegriffe\", tatsächlich eine Körpererweiterung von $K$ sein. Wir nennen diese Körpererweiterung $K(f)$. In diesem wird ein Linearfaktor von $f$ abspalten: Das irreduzible Polynom $f$ hat in dieser Körpererweiterung eine Nullstelle! Zerlegen wir $f$ nun als Polynom über den größeren Körper $K(f)$ in irreduzible Faktoren, können wir das obige Verfahren für eines der irreduziblen Faktoren wiederholen. Schlussendlich erhalten wir nach maximal $n -1 = \\text{deg}(f) - 1$ Schritten eine Körpererweiterung $L$ von $K$, über die $f$ komplett in Linearfaktoren zerfällt."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Warum reichen maximal $n-1$ Schritte? Wann sind es genau $n-1$ Schritte? \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Ringtheorie: Ideale und der Faktorring"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wir halten zunächst einige Eigenschaften fest, die in einem allgemeinen Setting gelten, ehe wir uns auf den Polynomring $K[X]$ beschränken. Jenes Setting ist die Welt der <b>Kringe</b>."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b> Ein <b>Kring</b> ist ein kommutativer Ring mit Eins.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wir werden nun eine bestimmte Klasse von Teilmengen von Kringen definieren, die <b>Ideale</b>. Bezüglich dieser bestimmten Teilmengen können wir Äquivalenzrelationen bilden."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b>\n",
    "    Es sei $(R,+,\\cdot)$ ein Kring und $I$ eine nichtleere Teilmenge von $R$. Dann heißt $I$ <b>Ideal</b> in $R$, falls $(I,+)$ eine Untergruppe von $(R,+)$ ist und $R \\cdot I \\subseteq I$ gilt, wobei $R \\cdot I$ die Menge aller Produkte der Form $r \\cdot i $ mit $r \\in R $ und $i \\in I$ bezeichnet. Man schreibt dazu $I \\unlhd R$. Falls $I \\neq R$ gilt, so schreibt man $I \\lhd R$ und sagt, I ist ein <b>echtes Ideal</b>.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Insbesondere ist jeder Kring ein Ideal in sich selbst."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Welche Ideale gibt es in einem Körper? \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Gibt es zu jeder Teilmenge des Krings ein Ideal, welches diese Menge enthält? Ja, denn selbstverständlich ist der gesamte Kring ein Ideal und enthält auch alle seine Teilmengen. Wir machen die Frage nichttrivial, indem wir das kleinstmögliche Ideal im Kring suchen, welches diese Teilmenge enthält: der Schnitt über alle Ideale im Kring, die die Teilmenge enthalten. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition (Idealerzeugnis):</b>\n",
    "    Es sei $(R,+,\\cdot)$ ein Kring und $M$ eine (gegebenenfalls leere) Teilmenge von $R$. Dann ist\n",
    "    $$(M):= \\bigcap_{M \\subseteq I  \\unlhd R} I $$ \n",
    "das kleinste Ideal in $R$, welches $I$ enthält. Man nennt $(M)$ das von $M$ <b>erzeugte Ideal</b>. Für endliche viele Ringelemente $r_1,...,r_n $ verwenden wir die Kurznotation $(r_1,...,r_n):= (\\{r_1,...,r_n\\})$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Warum ist der Schnitt von Idealen ein Ideal? \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Welches Ideal wird durch die leere Menge erzeugt? \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Genau wie das Vektorraumerzeugnis einer Teilmenge eines Vektorraums aus allen Linearkombinationen von Elementen dieser Menge besteht, besteht das Idealerzeugnis einer Teilmenge eines Krings gerade aus allen Linearkombinationen von Elementen jener Teilmenge. Beim Vektorraumerzeugnis werden die Skalare aus dem dem Vektorraum zugrundliegenden Körper gewählt; im Falle des Idealerzeugnisses werden die Skalare aus dem Kring gewählt. Diese Tatsache können Sie sich in folgender freiwilligen Aufgabe klarmachen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Freiwillige Aufgabe\n",
    "***\n",
    "Es sei $(R,+,\\cdot)$ ein Kring und $M$ eine nichtleere Teilmenge von $R$. Zeigen Sie, dass das von $M$ erzeugte Ideal gegeben ist durch die Menge aller $R$-Linearkombinationen von Elementen aus $M$, das heißt\n",
    "    $$ (M) = \\left\\{ \\sum_{i=1}^n r_i m_i \\, \\vert \\, m_i \\in M \\land r_i \\in R \\forall 1 \\leq i \\leq n, n \\in \\mathbb{N} \\right\\}.  $$\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Prim- und Maximalideale"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Im nächsten Abschnitt werden wir untersuchen, wie Ideale aus Kringen \"herausgekürzt\" werden. Bestimmte Klassen von Idealen verleihen dem \"gekürzten Kring\" ganz besondere Eigenschaften. Sogenannte <b>Primideale</b> garantieren Nullteilerfreiheit im \"gekürzten Kring\"."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition (Primideal):</b>\n",
    "    Es sei $(R,+,\\cdot)$ ein kommutativer Ring mit Eins und $I$ ein echtes Ideal in $R$. $I$ heißt <b>Primideal</b>, falls für alle Produkte $ab \\in I$ bereits $a \\in I$ oder $b \\in I$ folgt.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Beispielsweise ist $2 \\mathbb{Z}$ ein Primideal in $\\mathbb{Z}$. Andererseits ist $6 \\mathbb{Z}$ kein Primideal in $\\mathbb{Z}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Finden Sie zwei ganze Zahlen $a$ und $b$, deren Produkt $6 \\mathbb{Z}$ liegt, sie selber allerdings nicht.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sogenannte <b>Maximalideale</b> garantieren die Existenz von multiplikativen Inversen im \"gekürzten Kring\"."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition (Maximalideal):</b>\n",
    "    Es sei $(R,+,\\cdot)$ ein Kring und $I$ ein echtes Ideal in $R$. $I$ heißt <b>Maximalideal</b>, falls und $(I,x):=( I \\cup \\{ x \\} ) =R $ für alle $x \\in R \\backslash I$ gilt. Anders ausgedrückt: Für jedes Ideal $J$ in $R$ gilt die Implikation\n",
    "    $$ I \\subseteq J \\Rightarrow I = J \\lor J = R.$$\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Beispielsweise ist das Nullideal $\\{ 0 \\} \\subseteq K$ in einem Körper $K$ maximal (Warum?). Das Nullideal $\\{ 0 \\} \\subseteq \\mathbb{Z}$ in dem Ring der ganzen Zahlen wiederum ist nicht maximal."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Finden Sie ein Ideal in $\\mathbb{Z}$, welches $\\{ 0 \\} $ enthält.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Um eine Körpererweiterung $L$ von $K$ zu konstruieren mit mindestens einer Nullstelle des irreduziblen Polnyoms $f \\in K[X]$ bilden wir die Äquivalenzklassen bezüglich des durch $f$ erzeugten Ideals im Kring $K[X]$. Haben wir gezeigt, dass $(f)$ sowohl ein Primideal als auch ein Maximalideal ist, so können wir folgern, dass der \"gekürzte Kring\" sogar ein Körper ist."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe 2\n",
    "***   \n",
    "a) Zeigen Sie, dass für $p \\in K[X]$ das von $p$ erzeugte Ideal $(p)$ gegeben ist durch $K[X] \\cdot p := \\{ q \\cdot p \\, \\vert \\, q \\in K[X] \\}$.\n",
    "    \n",
    "b) Zeigen Sie, dass $(f)$ für $f \\in K[X]$ irreduzibel ein Maximalideal ist.\n",
    "    \n",
    "c) Zeigen Sie, dass $(f)$ für $f \\in K[X]$ irreduzibel ein Primideal ist."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Tatsächlich ist jedes Maximalideal eines Krings bereits ein Primideal; die umgekehrte Implikation gilt im Allgemeinen nicht. Der Beweis von Teilaufgabe c ist allerdings kurz und knapp und reicht für unsere Anwendung."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### Der Faktorring"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Einen Kring können wir entlang eines Ideals in Äquivalenzklassen partitionieren, indem jene Elemente als äquivalent angesehen werden, wenn ihre Differenz in dem Ideal liegt. Durch \"Herauskürzen\" eines Ideals ensteht ein neuer Kring."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b>\n",
    "Sei $(R,+,\\cdot)$ ein Kring und $I$ ein Ideal in $R$. Für zwei Ringelemente $a$ und $b$ definiere\n",
    "    $$a \\sim_I b : \\Leftrightarrow  a-b \\in I.$$\n",
    "Dann ist $\\sim_I$ eine Äquivalenzrelation. Es bezeichne $R / I := R / \\sim_I$ die Menge der Äquivalenzklassen in $R$ bezüglich $\\sim_I$. Man definiere die Addition und Multiplikation auf $R / I$ vertreterweise über\n",
    "    $$ [r]_I + [s]_I := [r + s ]_I \\text{ und}$$\n",
    "    $$ [r]_I \\cdot [s]_I := [r \\cdot s ]_I.$$\n",
    "    Damit ist $\\left( R / I, + , \\cdot \\right) $ ein Kring. Wir nennen diesen den <b>Faktorring</b> von $R$ bezüglich $I$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Der Faktorring ist genau das, was ich im letzten Unterabschnitt den \"gekürzten Kring\" genannt habe."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Machen Sie sich klar, warum $\\sim_I$ eine Äquivalenzrelation definiert, also reflexiv, symmetrisch und transitiv ist (<i>Tipp</i>: Ideale sind Gruppen). Überlegen Sie sich das Nullelement und das Einselement von $R/I$. Lassen Sie sich durch den Kopf gehen, warum die Addition und Multiplikation in $R/I$ vertreterunabhängig sind. Was ist das additive Inverse von $[r]_I$ für ein $r \\in R$?\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### „Warum reicht es nicht, eine Gruppe herauszukürzen?“"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Für die Wohldefiniertheit der Multiplikation auf dem Faktorring benötigen wir die Eigenschaft, dass Ideale abgeschlossen bezüglich Multiplikation mit beliebigen Elementen des Krings sind. Obige Definition von $\\sim$ für additive Untergruppen des Krings definiert zwar auch eine Äquivalenzrelation (vergleiche Denkanstoß), aber im Zweifelsfall gibt es auf der resultierenden Faktorgruppe keine sinnvolle Multiplikation "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Konkret: Dass $\\sim_I$ eine Äquivalenzrelation ist, folgt aus den Gruppeneigenschaften für $(I,+)$. Auch die Wohldefiniertheit der Addition auf $R/I$ folgt bereits aus der additiven Abgeschlosseneheit von $I$. Aber die Wohldefiniertheit der Multiplikation auf $R/I$ nutzt die Eigenschaft $R \\cdot I \\subseteq I$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Die restlichen Kring-Eigenschaften für $R/I$, also Kommutativität und Assoziativität der Addition und Multiplikation auf $R/I$, lassen sich mit der Wohldefiniertheit dieser Operationen nun direkt aus den jeweiligen Eigenschaften von $R$ ablesen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Die Eigenschaft, dass durch Kürzen von Idealen aus einem Kring etwas mehr als eine Faktorgruppe entsteht (sogar ein Kring!), können Sie als Motivation für den Idealbegriff verstehen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Eine kleine Übung zum Verständnis bietet der nächste Denkanstoß. Der Beweis ist nicht aufwendig, und hilft beim Festigen der neuen Begriffe, wenn man ihn selber führ."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Für ein echtes Ideal $I$ in $R$ ist $R / I$ genau dann nullteilerfrei, wenn $I$ ein Primideal ist.  \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Faktorringe als Körpererweiterungen"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Das war es erstmal an allgemeiner Ringtheorie. Wir springen zurück zu unserem Spezialfall $R=K[X]$ und betrachten $f \\in K[X]$ irreduzibel. Dann ist der Faktorring $K[X]/(f)$ sogar eine Körpererweiterung von $K$! Das untersuchen wir im folgenden Unterabschnitt genauer:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### Die Körperstruktur von $K[X]/(f)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Nullteilerfreiheit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wir schreiben die Elemente von $K[X]/(f)$ mit $\\overline{p}:=[p]_{(f)}$ für $p \\in K[X]$. $K[X]/(f)$ ist nullteilerfrei gemäß dem obigen Denkanstoß."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Existenz von multiplikativen Inversen"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sei $p \\in K[X] $ mit $\\overline{p} \\neq \\overline{0}$, das heißt $p \\not \\in (f)$. Dann ist $(f) \\subsetneq (f,p)$. Da $(f)$ ein Maximalideal ist, folgt $(f,p)=K[X]$. Damit ist insbesondere $1 \\in (f,p)$. Mit der expliziten Formel für das Idealerzeugnis folgt: Es existieren $r,s \\in K[X]$ mit $1=rf+sp$. Damit ist $$\\overline{1} = \\overline{rf + sp} = \\overline{rf} + \\overline{sp} = \\overline{0} + \\overline{sp} = \\overline{0+sp} = \\overline{sp} = \\overline{s} \\cdot \\overline{p}.$$ Also ist $\\overline{s}= (\\overline{p})^{-1}$. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Damit ist $K[X]/(f)$ ein Körper. In der nächsten Aufgabe geht es darum,  $K[X] / (f)$ sowohl als $K$-Vektorraum als auch als Körpererweiterung von $K$ zu verstehen. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe 3\n",
    "***    \n",
    "Machen Sie sich die $K$-Vektorraumstruktur von  $K[X]/(f)$ klar. Betrachten Sie die Menge $B:= \\{\\overline{1},...,\\overline{X^{n-1}} \\} \\subseteq K[X] / (f)$ für $n := \\text{deg}(f)$. Zeigen Sie, dass diese eine $K$-Basis von $K[X]/(f)$ ist. Geben Sie den injektiven Körperhomomorphismus $\\phi$ von $K$ nach $K[X]/(f)$ an."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wir halten fest:\n",
    "\n",
    "<b>$K[X] / (f)$ ist eine endliche Körpererweiterung von $K$ vom Grad $n = \\text{deg}(f)$.</b> Insbesondere ist $K[X]/(f)$ eine algebraische Körpererweiterung von $K$ (siehe \"Grundbegriffe\")."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<u><b>Beispiel:</b></u> <br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Das Polynom $X^2 + X + 1 \\in \\mathbb{F}_2[X]$ hat keine Nullstellen in $\\mathbb{F}_2$ und ist somit als Polynom zweiten Grades irreduzibel in $\\mathbb{F}_2[X]$. Also ist $F:=\\mathbb{F}_2[X]/(X^2 + X + 1 )$ eine Körpererweiterung von $\\mathbb{F}_2$ vom Grad $\\deg (X^2 + X + 1 ) =2$. Eine $\\mathbb{F}_2$-Basis von $F$ ist gegeben durch $\\{ \\overline{1}, \\overline{X} \\}$. Da $F$ ein zweidimensionaler $\\mathbb{F}_2$-Vektorraum ist, besitzt $F$ genau $\\vert \\mathbb{F}_2 \\vert ^2 = 2^2 = 4$ Elemente. Es gilt $F = \\{ \\overline{0}, \\overline{1} , \\overline{X}, \\overline{X^2} \\}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "    <b>Denkanstoß:</b> Überlegen Sie, weshalb die Elemente $\\overline{0}$, $\\overline{1}$ , $\\overline{X}$, $\\overline{X^2} \\in F$ paarweise verschieden sind. <i>Hinweis:</i> Es gilt $a-b \\neq (X^2+X+1)$ für alle $a,b \\in \\{ \\overline{0}, \\overline{1} , \\overline{X}, \\overline{X^2} \\}$.  Es gilt $\\overline{X^2} = \\overline{X} \\cdot \\overline{X}$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### $K[X]/(f)$  enthält eine Nullstelle von $f$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Da $K[X]/(f)$  eine Körpererweiterung von $K$ ist, können wir $f$ auch als Polynom mit Koeffizienten aus $K[X]/(f)$ verstehen: \n",
    "$$ f = \\sum_{i=0}^n \\overline{f_i} X^i,$$\n",
    "wobei $f_i \\in K[X]$ für alle $0 \\leq i \\leq n: = \\text{deg} (f)$. Das Element $\\overline{X} \\in K[X]/(f)$ ist eine Nullstelle von $f$, denn mit der Verträglichkeit von $\\sim_{(f)}$ gilt:\n",
    "\\begin{align*}\n",
    "f(\\overline{X}) = \\sum_{i=0}^{n} \\overline {f_i} \\cdot ( \\overline{X} )^i =  \\overline{ \\sum_{i=0}^{n} f_i X^i } = \\overline { f} = \\overline{0}.\n",
    "\\end{align*}\n",
    "Wir finden in der Körpererweiterung $K[X]/(f)$ also eine \"neue Zahl nach Wunsch\": eine Nullstelle von $f$. Wir geben dieser Nullstelle im folgenden Abschnitt einen Namen, sodass wir nicht lange in dem hässlichen Faktorring hantieren müssen: "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### Umbenennung der Elemente von $K[x]/(f)$ durch Einführen eines neuen Symbols"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wir führen ein neues Symbol $\\alpha \\not \\in K$ ein. Dann können wir den Körper $K[X]/(f)$ bijektiv mit der Menge der formalen Summen\n",
    "$$K(f):= \\left\\{ \\sum_{i=0}^{n-1} a_i \\alpha^i \\, \\vert \\, a_i \\in K \\, \\forall 0 \\leq i \\leq n-1 \\right\\} $$\n",
    "mittels der Bijektion\n",
    "$$ \\psi: K[X]/(f) \\rightarrow K(f), \\sum_{i=0}^{n-1}a_i\\overline{X^i} \\mapsto \\sum_{i=0}^{n-1}  a_i \\alpha^i$$\n",
    "identifizieren. Stattet man die Menge $K(f)$ derart mit einer Körperstruktur aus, dass die Addition und Multiplikation auf $K(f)$ verträglich mit $\\psi$ sind, so wird $\\psi$ zum Körperisomorphismus. Konkret definiert man die Addition und Multiplikation auf $K(f)$ wie folgt:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\begin{align*}  \\sum_{i=1}^{n-1} a_i \\alpha^i \\cdot \\sum_{i=1}^{n-1} b_i \\alpha^i\n",
    "&:=\\psi \\left( \\psi^{-1} \\left( \\sum_{i=1}^{n-1} a_i \\alpha^i \\right) \\cdot \\psi^{-1} \\left( \\sum_{i=1}^{n-1} b_i \\alpha^i \\right) \\right)\n",
    "= \\psi \\left( \\overline{ \\sum_{i=1}^{n-1} a_i X^i } \\cdot \\overline{ \\sum_{i=1}^{n-1} b_i X^i} \\right) \n",
    "= \\psi \\left( \\overline{ \\sum_{i=1}^{n-1} \\sum_{j=1}^{n-1} a_i b_j X^{i+j} } \\right) \n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "sowie\n",
    "\\begin{align*}\n",
    "\\sum_{i=1}^{n-1} a_i \\alpha^i + \\sum_{i=1}^{n-1} b_i \\alpha^i &:= \\psi \\left( \\psi^{-1} \\left( \\sum_{i=1}^{n-1} a_i \\alpha^i \\right) + \\psi^{-1} \\left( \\sum_{i=1}^{n-1} b_i \\alpha^i \\right) \\right) \n",
    "= \\psi \\left( \\overline{ \\sum_{i=1}^{n-1} a_i X^i } + \\overline{ \\sum_{i=1}^{n-1} b_i X^i} \\right) \n",
    "= \\psi \\left( \\overline{ \\sum_{i=1}^{n-1} (a_i+b_i) X^i } \\right) \n",
    "= \\psi \\left( \\sum_{i=1}^{n-1} (a_i+b_i) \\overline{X^i} \\right)\n",
    "= \\sum_{i=1}^{n-1} (a_i + b_i) \\alpha^i.\n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wir sehen also, die Addition auf $K(f)$ verhält sich wie die Addition auf Polynomringen. Bei der Multiplikation werden höhere Potenzen von $\\alpha$ rausgekürzt bezüglich dem Ideal $(f)$ und die Rechnung wird ein wenig komplizierter. In Kürze werden Sie ganz konkret in diesem Körper rechnen, gedulden Sie sich also noch ein bisschen. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Das Schöne an dieser Umbenennung ist, dass $K(f)$ nun eine Obermenge von $K$ ist. Wir müssen also nicht mehr über die Einbettung $\\phi: K \\rightarrow K[X]/(f)$ oder Äquivalenzklassen sprechen. Das zweite Schöne an der Einführung des neuen Symbols ist, dass man damit ganz klar erkennt, dass wir uns eine \"neue Zahl nach Wunsch\" definiert haben. Die \"neue Zahl\" $\\alpha$ ist eine Nullstelle von $f \\in K[X] \\subsetneq K(f)[X]$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<u><b>Beispiel:</b></u> <br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wir betrachten erneut das Beispiel von $F:=\\mathbb{F}_2[X]/(X^2 + X + 1)$ als Körpererweiterung von $\\mathbb{F}_2$ vom Grad $2$. Die Abbildung\n",
    "$$\\psi : F \\rightarrow \\{ 0, 1, \\alpha , 1+ \\alpha \\}, \\, \\sum_{i=0}^{1}a_i\\overline{X^i} \\mapsto \\sum_{i=0}^{1}  a_i \\alpha^i$$\n",
    "ist eine Injektion wegen der eindeutigen Darstellung von jedem Element aus $F$ als $\\mathbb{F}_2$-Linearkombination von  $\\{ 1, \\overline{X} \\}$. Surjektivität ist klar, weil $\\vert F  \\vert = \\vert \\{ 0, 1, \\alpha , 1+ \\alpha \\} \\vert < \\infty$. Es gilt $ \\psi( \\overline{0} ) = 0$, $\\psi( \\overline{1} ) = 1$, $\\psi ( \\overline{X} ) = \\alpha$ und $\\psi ( \\overline{X^2}) = 1 + \\alpha$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "    <b>Denkanstoß:</b> Stellen Sie die Additions- und Multiplikationstafeln von $\\{ 0, 1, \\alpha, 1+ \\alpha \\} \\cong \\mathbb{F}_2[X]/(X^2+X+1)$ auf.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Das für die Konstruktion des Faktorrings verwendete irreduzible Polynom $f \\in K[X]$ hat tatsächlichen minimalen Grad bezüglich aller anderen Polynome $p$ über $K$ mit $(X-\\alpha) \\vert p $ in $K(f)[X] $. Daher stimmt das normierte Polynom $\\tilde f := \\frac{1}{f_n} f \\in K[X]$ mit dem Minimalpolynom von $\\alpha \\in K(f) $ über $K$ überein. Dazu, falls Sie es im Haupttext überlesen haben: [Definition des Minimalpolynoms](#def_minpol)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "    <b>Denkanstoß:</b> Warum ist $\\tilde f := \\frac{1}{f_n} f \\in K[X]$ das Minimalpolynom von $\\alpha$ über $K$? <i>Hinweis:</i> Das Minimalpolynom $\\mu_{\\alpha,K} \\in K[X]$ ist irreduzibel (das folgt direkt aus der Definition, Stichwort <i>minimal</i>). Angenommen, $\\tilde f \\not \\in ( \\mu_{\\alpha,K} ) \\lhd K[X]$, so folgt aus der Tatsache, dass $(\\mu_{\\alpha,K} )$ ein Maximalideal in $K[X]$ ist, ein Widerspruch. Daraus folgt mit der Irreduzibilität von $\\mu_{\\alpha,K}$ und $\\tilde f$ sowie der Normiertheit beider Polynome: $\\tilde f = \\mu_{\\alpha,K}$.  \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Im nächsten Abschnitt werden wir den obigen Prozess (\"Einführen einer neuen Nullstelle\") wiederholen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Zerfällungskörper"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Mit der Faktorringkonstruktion können wir zu jedem irreduziblen Polynom $f \\in K[X]$ eine Körpererweiterung $K(f)$ von $K$ finden, in der (salopp gesagt) $f$ eine neue Nullstelle dazubekommt. Mit demselben Verfahren (geeignet oft wiederholt) erhalten wir eine Körpererweiterung von $K$, über die $f$ komplett in Linearfaktoren zerfällt. Das funktioniert wie folgt:\n",
    "\n",
    "Zerfällt $f$ noch nicht über $K(f)$ komplett in Linearfaktoren, so existiert ein irreduzibler Faktor $p \\in K(f)[X]$ von $f$ mit $\\text{deg} (p) > 1$. Über den Körper $K(f)(p)$ spaltet (mindestens) ein neuer Linearfaktor von $p$ ab. Es gibt mindestens zwei Linearfaktoren in der Irreduziblenzerlegung von $f$ als Polynom über $K(f)(p)$. Man wiederhole das Verfahren (neue Irreduziblenzerlegung, irreduziblen Faktor mit Grad $> 1$ wählen, Faktorring bilden), bis jeder irreduzible Faktor von $f$ ein Linearfaktor ist."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In jedem Schritt kann ein neues Symbol für die neu dazugewonnene Nullstelle eingeführt werden. Die so gewonnene Körpererweiterung $L$ ist endlich vom Grad $[L : K] \\leq n!$ (warum?), also insbesondere algebraisch. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Man kann zeigen, dass diese Körpererweiterung $L$ minimal ist in dem Sinne, dass kein Zwischenkörper $K \\subseteq M \\subsetneq L$ existiert, über den $f$ in Linearfaktoren zerfällt. Minimale Körpererweiterungen, über die ein Polynom zerfällt, bekommen einen besonderen Namen, der durch ihre Eindeutigkeit bis auf Isomorphie gerechtfertigt wird."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b>\n",
    "Es sei $K$ ein Körper und $p \\in K[X]$ ein Polynom. Es sei $L$ eine Körpererweiterung von $K$, über den $p$ in Linearfaktoren zerfällt. Es seien $\\alpha_1,...,\\alpha_n$ die Nullstellen von $p$ in $L$. Ist $L$ minimal mit dieser Eigenschaft, das heißt über keinen Körper $M$ mit $K \\subseteq M \\subsetneq L $ zerfällt $p$ in Linearfaktoren, so nennt man $L$ einen <b>Zerfällungskörper</b> von $p$ über $K$.  Notation:\n",
    "    $$ L = \\text{Zerf}_K(p).$$\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "##### Eindeutigkeit von Zerfällungskörpern"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Tatsächlich sind Zerfällungskörper bis auf Isomorphie eindeutig bestimmt. Konkret: Es sei $K$ ein Körper und $p \\in K[X]$. Zwischen je zwei Zerfällungskörpern $L_1$ und $L_2$ von $p$ über $K$ existiert ein Korperisomorphimus. Dazu schreiben wir $L_1 \\cong L_2$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Der Eindeutigkeitsbeweis geht über dieses Blatt hinaus, ist aber dennoch eine wichtige Aussage, die Sie sich merken sollten. Den Beweis können Sie bei Interesse im Internet gerne nachlesen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In der nachfolgenden Aufgabe sollen Sie Schritt für Schritt den Zerfällungskörper eines Polynoms über $\\mathbb{Q}$ bestimmen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe 4\n",
    "***    \n",
    "Es sei $p = X^4 - X^2 -2 \\in \\mathbb{Q}[X]$.\n",
    "\n",
    "a) Bestimmen Sie die Irreduziblenzerlegung von $p$ über $\\mathbb{Q}$. <i>Hinweis:</i> Sie dürfen annehmen, dass die Gleichungen $X^2 = 2$ und $X^2 = -1$ keine Lösungen in $\\mathbb{Q}$ besitzen. Warum sind damit die quadratischen Faktoren $(X^2 - 2)$ und $(X^2 + 1)$ irreduzibel über $\\mathbb{Q}$?\n",
    "    \n",
    "b) Bilden Sie den Faktorring von $\\mathbb{Q}[X] $ bezüglich des irreduziblen Faktors $f:=(X^2-2)$. Geben Sie eine $\\mathbb{Q}$-Basis des Faktorrings an.\n",
    "\n",
    "c) Geben Sie der neuen Nullstelle den Namen $\\alpha$. Identifizieren Sie den Faktorring bezüglich $g$ mit einer passenden Symbolmenge $\\mathbb{Q}(f)$ (siehe oben). Berechnen Sie $(1+\\alpha)(1-\\alpha)$ und $\\alpha^{2n}$ für $n \\in \\mathbb{N}$.\n",
    "    \n",
    "d) Geben Sie alle injektiven Körperhomomorphismen von $\\mathbb{Q}(f)$ nach $\\mathbb{C}$ an. <i>Hinweis:</i> Es gibt genau zwei.\n",
    "    \n",
    "e) Bestimmen Sie die Irreduziblenzerlegung von $p$ über $\\mathbb{Q}(f)$.  <i>Hinweis:</i> Sie dürfen annehmen, dass die Gleichung $X^2 = -1$ keine Lösungen in $\\mathbb{Q}(f)$ besitzt. Warum ist damit $(X^2+1)$ irreduzibel über $\\mathbb{Q}(f)$?\n",
    "\n",
    "f) Bilden Sie den Faktorring von $\\mathbb{Q}(f)[X]$ bezüglich einem geeigneten irreduziblen Faktor $g$. Nennen Sie die neue Nullstelle $\\beta$ und identifizieren Sie Ihre Körpererweiterung mit einer geeigneten Symbolmenge. Spalten Sie den Linearfaktor $(X-\\beta)$ ab und bilden Sie die Irreduziblenzerlegung von $p$ über $\\mathbb{Q}(f)(g)$. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wenn Sie alles richtig gemacht haben, haben Sie den Zerfällungskörper von $p$ über $\\mathbb{Q}$ bestimmt! Herzlichen Glückwunsch!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Vergleichen Sie Ihr Resultat mit dem motivierenden Beispiel aus der Einleitung. Überlegen Sie sich, wie das \"Problem von $i$\" in diesem Abschnitt gelöst worden ist. \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Zerfällungskörper kann man beliebig oft sukzessiv bilden, um zu endlich vielen Polynomen $p_1,...,p_n$ eine gemeinsame Körpererweiterung $L$ finden, über die alle $p_i$ in Linearfaktoren zerfallen. Wie verhält es sich im unendlichen Fall, also wenn wir eine gemeinsame Körpererweiterung von $K$ suchen, die \"alle Nullstellen\" von allen Polynomen über $K$ enthält? Darum geht es im letzten Abschnitt. Durch geeignetes \"Zusammenkleben\" von Zerfällungskörpern werden wir eine algebraische Körpererweiterung $L$ von $K$ bestimmen, über die alle Polynome über $K$ in Linearfaktoren zerfallen. Den Körper $L$ werden wir noch derart \"abschließen\", dass alle Polynome $p \\in L[X]$ in Linearfaktoren zerfallen. Diesen <i>algebraisch abgeschlossenen</i> Körper nennen wir dann den <b>algebraischen Abschluss</b> von $K$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "## III. Der algebraische Abschluss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In dem ersten Teil dieses Abschnittes werden wir eine minimale Körpererweiterung $L$ von $K$ konstruieren, sodass alle Polynome $p \\in K[X]$ über $L$ in Linearfaktoren zerfallen. Im Allgemeinen (für beliebige Körper $K$) betrachtet man dazu die Gesamtheit aller Zerfällungskörper über einen Körper $K$ und \"klebt\" sie derart zusammen, dass sie zusammen einen größten Körper $L$ bilden. Das mathematische Werkzeug, welches man dafür nutzt, heißt der <i>direkte Limes</i>. Die Methode des \"Zusammenklebens\" mit dem direkten Limes ist an sich nicht allzu schwer, enthält allerdings einige technische Details, die schriftlich aufgeführt etwas abschreckend wirken können und die eigentlich einfache Idee der Konstruktion verschleiern. Mit der zusätzlichen Bedingung \"$K$ abzählbar\" vereinfacht sich die Konstruktion der gesuchten Körpererweiterung $L$ von $K$ wesentlich, da der Begriff des direkten Limes übergangen werden kann. Stattdessen bildet man eine geeignete Folge $(K_n)_{n \\in \\mathbb{N}}$ aufsteigender Körper. Die Vereinigung dieser Körper, $\\bigcup_{n \\in \\mathbb{N}} K_n$, ist dann bereits die gesuchte Körpererweiterung $L$.\n",
    "\n",
    "Der Einfachheit halber wird im ersten Teil dieses Abschnittes nur die Konstruktion für abzählbare Körper $K$ genauer untersucht."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sei also $K$ ein abzählbarer Körper. Dann ist der Polynomring $K[X]$ abzählbar <i>unendlich</i>. Damit existiert eine Abzählung $(p_n)_{n \\in \\mathbb{N}}$ des Polynomrings $K[X]$. Wir definieren rekursiv eine Folge $(K_n)_{n \\in \\mathbb{N}}$ von Körpern:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$ K_1 := K, \\, K_{n+1} := \\text{Zerf}_{K_n}(p_{n+1}) \\, \\forall \\, n \\in \\mathbb{N}$$ "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Damit ist $K_{n+1}$ eine Körpererweiterung von $K_n$ für jedes $n \\in \\mathbb{N}$. Insbesondere ist jedes $K_n$ eine Körpererweiterung von $K$. Wir definieren\n",
    "$$ \\overline{K}^{(1)} := \\bigcup_{n \\in \\mathbb{N}} K_n. $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$ \\overline{K}^{(1)}$ nennen wir den <b>ersten Abschluss von $K$</b>."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Warum ist $ \\overline{K}^{(1)}$ eine algebraische Erweiterung von $K$?\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Die Eindeutigkeit des ersten Abschluss lässt sich wie folgt plausibilisieren: Sie haben in dem Abschnitt zu Zerfällungskörpern gelernt, dass Zerfällungskörper bis auf Isomorphie eindeutig sind. Für je zwei Polynome $p,q \\in K[X]$ gilt: Der Zerfällungskörper von $p$ über $\\text{Zerf}_K(q)$ ist isomorph zu $\\text{Zerf}_K(p \\cdot q)$. Damit ist klar, dass für zwei verschiedene Abzählungen $(p_n)_{n \\in \\mathbb[N}$ und $(q_n)_{n \\in \\mathbb{N}}$ und \n",
    "$$ K'_1 := K, \\, K'_{n+1} := \\text{Zerf}_{K'_n}(p_{n+1}) \\, \\forall \\, n \\in \\mathbb{N}, \\overline{K}^{(1')} := \\bigcup_{n \\in \\mathbb{N}} K'_n$$\n",
    "zumindest $K_n$ für jedes $n \\in \\mathbb{N}$ ein Stammkörper von $\\overline{K}^{(1')}$ ist, und umgekehrt $K_n'$ für jedes $n \\in \\mathbb{N}$ ein Stammkörper von $\\overline{K}^{(1)}$ ist. Ein vollständiger Beweis ist das noch nicht, aber die Überlegung hilft vielleicht zu einem besseren Verständnis der Konstruktion."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe 5\n",
    "*** \n",
    "Machen Sie sich diese Konstruktion intuitiv klar. Wie würden Sie eine Körperstruktur auf $\\overline{K}^{(1)}$ definieren? Es gibt genau eine Vorschrift für die Addition und Multiplikation auf $\\overline{K}^{(1)}$, bezüglich der $\\overline{K}^{(1)}$ von jedem $K_n$, $ n \\in \\mathbb{N}$,  einer Körpererweiterung ist. Geben Sie die Additons- und Multiplikationsvorschrift auf $\\overline{K}^{(1)}$ an und begründen Sie, warum Ihre Definition wohldefiniert (vertreterunabhängig) ist. Zeigen Sie, dass $\\overline{K}^{(1)}$ mit der von Ihnen gewählten Addition und Multiplikation ein Körper ist, prüfen Sie also auf die nötigen Rechengesetze und die Existenz von Inversen. Machen Sie sich klar, weshalb $\\overline{K}^{(1)}$ eine Körpererweiterung von $K$ ist. Überlegen Sie sich die Funktionsvorschrift des injektiven Körperhomomorphismuses von $K$ nach $\\overline{K}^{(1)}$.\n",
    "<div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\overline{K}^{(1)}$ ist also eine Körpererweiterung von $K$, über die alle Polynome über $K$ in Linearfaktoren zerfallen. Wie bereits erwähnt, kann man auch für überabzählbare Körper einen solchen Körper konstruieren. Die kompliziertere Konstruktion für beliebige Körper habe ich im folgenden Unterabschnitt in Ansätzen skizziert; bei Interesse werfen Sie gerne einen Blick rein."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "##### Vertiefungsmöglichkeit: Die allgemeinere Konstruktion für beliebige Körper"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Die nachfolgende Definition gibt Ihnen die nötigen Begriffe, sodass Sie die im darauffolgenden Denkanstoß beschriebene Konstruktion nachvollziehen können. Den Denkanstoß können Sie als Beweisanleitung verstehen."
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b>\n",
    "Ein <b>gerichtetes System von Körpern</b> besteht aus: \n",
    "    \n",
    "1. einer gerichteten, partiell geordneten Indexmenge $(I, \\leq)$, \n",
    "\n",
    "2. Körpern $K_i$ für alle $i \\in I$ und\n",
    "    \n",
    "3. Körperhomomorphismen $\\phi_{i,j}: K_i \\rightarrow K_j$ für alle $i, j \\in I$ mit $i \\leq j$ derart, dass das Diagramm\n",
    "\n",
    "<div>\n",
    "<img src=\"attachment:9d50c040-568c-46d6-a87b-c52152e213e7.png\" width=\"400\"/>\n",
    "</div>\n",
    "\n",
    "für alle $i \\leq j \\leq k$ kommutiert.\n",
    "\n",
    "Der <b>direkte Limes</b> eines gerichteten Systems von Körpern $(I, (K_i), (\\phi_{i,j}))$ besteht aus den Äquivalenzklassen von $\\bigcup_{i \\in I} (K_i \\times \\{ i \\})$ bezüglich der Äquivalenzrelation $(x,i) \\equiv (y,j) :\\Leftrightarrow \\exists k \\in I: (k \\geq i,j) \\land \\phi_{i,k} (x) = \\phi_{j,k}(y)$. Man schreibt dafür $\\text{lim}_{\\rightarrow} K_i$. Die Addition und Multiplikation von Elementen aus $\\text{lim}_{\\rightarrow} K_i$ ist vertreterweise definiert:\n",
    "Für $(x,i),(y,j) \\in \\bigcup_{i \\in I} (K_i \\times \\{ i \\})$ ist\n",
    "$$[(x,i)]_\\equiv + [(y,j)]_\\equiv := [(\\phi_{i,k}(x) + \\phi_{j,k}(y),k)]_\\equiv$$ und\n",
    "$$[(x,i)]_\\equiv \\cdot [(y,j)]_\\equiv := [(\\phi_{i,k}(x) \\cdot \\phi_{j,k}(y),k)]_\\equiv $$ für ein $k \\in I$ mit $k \\geq i,j$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Es sei $K$ ein beliebiger Körper. Der Polynomring $K[X]$ ist mit $f \\leq g :\\Leftrightarrow f \\, \\vert \\, g $ für alle $f,g \\in K[X]$ eine gerichtete, partielle geordnete Menge. Betrachten Sie die Körper $K_f := \\text{Zerf}_K(f)$. Überlegen Sie, mit welchen Körperhomomorphismen $\\phi_{i,j}$ Sie ein gerichtetes System von Körpern erhalten. Warum ist der direkte Limes $\\text{lim}_{\\rightarrow} K_f$ ein Körper? Warum sind die Operationen $+$ und $\\cdot$ darauf wohldefiniert? Wie kann ich  $\\text{lim}_{\\rightarrow} K_f$ als Körpererweiterung von $K$ auffassen? Finden Sie einen injektiven Körperhomomorphismus von $K$ nach $\\text{lim}_{\\rightarrow} K_f$. Warum zerfällt jedes $p \\in K[X]$ über $\\text{lim}_{\\rightarrow} K_f$ vollständig in Linearfaktoren? \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Der direkte Limes $\\text{lim}_{\\rightarrow} K_f$ hat genau die Eigenschaften, die wir im obigen Abschnitt mit $\\overline{K}^{(1)}$ erreichen wollten."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Abschließen von $\\overline{K}^{(1)}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Es sei $K$ weiterhin ein abzählbarer Körper. Nach Konstruktion zerfällt jedes Polynom $p \\in K[X]$ über $\\overline{K}^{(1)}$ in Linearfaktoren. Damit können wir mit dem „Zerfällungskörpertrick“ bezüglich Polynomen $p \\in K[X]$ keine \"neuen Zahlen\" definineren. Doch wie steht es mit Polynomen über $\\overline{K}^{(1)}$? Zerfallen diese über $\\overline{K}^{(1)}$ vollständig in Linearfaktoren oder können wir durch Herausteilen einer algebraischen Relation wieder neue Zahlen \"erschaffen\"?\n",
    "\n",
    "Solche Körper, die bereits \"alle Nullstellen\" von ihren Polynomen enthalten, über die wir also mit algebraischen Mitteln keine \"neuen Zahlen\" definieren können, heißen <b>algebraisch abgeschlossen</b>. Formal definiert man diese Eigenschaft wie folgt."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b>\n",
    "Ein Körper $K$ heißt <b>algebraisch abgeschlossen</b>, falls jedes nichtkonstante Polynom $p \\in K[X]$ sich als Produkt von Linearfaktoren schreiben lässt. Äquivalente Charakterisierungen lauten:\n",
    "    \n",
    "-Jedes nichtkonstante Polynom in $K[X]$ hat eine Nullstelle in $K$.\n",
    "    \n",
    "-Die irreduziblen Polynome in $K[X]$ sind genau die Polynome vom Grad 1.\n",
    "    \n",
    "-Die Irreduziblenzerlegung eines jeden nichtkonstanten Polynoms in $K[X]$ ist ein Produkt von Polynomen vom Grad 1.\n",
    "    \n",
    "-Jedes nichtkonstante Polynom $p \\in K[X]$ hat genau $\\text{deg} (p) $ viele Nullstellen in $K$ (inklusive Vielfachheiten).\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Überlegen Sie, warum die obigen Charakterisierungen äquivalent zur Definition algebraischer Abgeschlossenheit sind.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Es leuchtet nicht direkt ein Grund dafür ein, weshalb $\\overline{K}^{(1)}$ bereits algebraisch abgeschlossen sein sollte, also schon alle Zerfällungskörper von Polynomen $p \\in \\overline{K}^{(1)}[X]$ enthalten sollte. Es bietet sich an, das Verfahren aus dem ersten Teil dieses Abschnittes zu wiederholen. Das funktioniert, ohne auf den direkten Limes zugreifen zu müssen, denn $\\overline{K}^{(1)}$ ist als abzählbare Vereinigung abzählbarer Mengen abzählbar."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b> Warum ist $K_n$ abzählbar für jedes $n \\in \\mathbb{N}$? <i>Hinweis</i>: $K_1=K$ ist abzählbar nach Voraussetzung. Warum ist $K_2$ abzählbar? Überlegen Sie dazu, warum ein Zerfällungskörper über einen abzählbaren Körper $K$ abzählbar ist. Denken Sie an die Konstruktion von Zerfällungskörpern und die Vektorraumstruktur von $K(f)$ für ein irreduzibles Polynom $f \\in K[X]$ zurück. Welchen Grad hat $K(f)$ als $K$-Vektorraum? \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wir definieren rekursiv die Folge der Abschlüsse:\n",
    "$$ \\overline{K}^{(0)}:=K, \\, \\overline{K}^{(n+1)}:= \\overline{ \\overline{K}^{(n)}}^{(1)} \\, \\forall n \\in \\mathbb{N}. $$\n",
    "\n",
    "Es entsteht die aufsteigende Kette von Körpern\n",
    "$$ K = \\overline{K}^{(0)} \\hookrightarrow \\overline{K}^{(1)} \\hookrightarrow \\overline{K}^{(2)} \\hookrightarrow \\overline{K}^{(3)} \\hookrightarrow \\, ... $$ "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "Definiert man nun $\\overline{K}$ als die Vereinigung der Körper $\\overline{K}^{(n)}$, so ist $\\overline{K}$ eine algebraisch abgeschlossene Körpererweiterung von $K$. Wir können also keine neuen Zahlen mehr mit dem \"Zerfällungskörpertrick\" für Polynome über $\\overline{K}$ definieren. Insbesondere zerfällt jedes Polynom über $K$ in Linearfaktoren über $\\overline{K}$, das heißt salopp gesprochen, \"alle Polynomnullstellen von $K$ sind in $\\overline{K}$ enthalten\".\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Definition:</b> Eine Körpererweiterung $L$ von $K$ heißt <b>algebraischer Abschluss</b> von $K$, falls $L$ eine algebraisch abgeschlossene algebraische Körpererweiterung von $K$ ist. \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Man kann induktiv zeigen, dass $\\overline{K}$ eine algebraische Körpererweiterung von $K$ ist, denn die Hintereinanderausführung algebraischer Körpererweiterungen ist wieder eine algebraische Körpererweiterung. Präziser:\n",
    "\n",
    "Es seien $M/K$ und $L/M$ algebraischen Körpererweiterungen, dann ist auch $L/K$ eine algebraische Körpererweiterung.\n",
    "\n",
    "Der Beweis davon würde den Rahmen dieses Blattes sprengen, ist allerdings ziemlich überschaubar. Interessieren Sie sich dafür, so lässt sich diese Aussage mit einem guten Skript oder Lehrbuch ohne allzu viel Aufwand selbst beweisen. "
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   "source": [
    "Jedenfalls lässt sich mit dieser Aussage (induktiv) zeigen, dass $\\overline{K}$ ein algebraischer Abschluss von $K$ ist. Tatsächlich ist der algebraische Abschluss eines Körpers eindeutig bis auf Isomorphie und wird in der Algebra immer mit $\\overline{K}$ notiert. Unsere Notation hat also ein wenig vorgegriffen."
   ]
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   "source": [
    "<div class=\"alert alert-block alert-danger\">\n",
    "    \n",
    "### Rückblickaufgabe\n",
    "***\n",
    "In diesem Blatt haben Sie gelernt, wie neue Zahlen nach Wunsch erfunden werden können, etwa die imaginäre Einheit $i$. Hat eine polynomielle Gleichung in einer Variable keine Lösungen in einem Körper $K$, so kann eine Lösung zu dem Körper $K$ \"dazugenommen\" werden (<i>Faktorringtrick</i>). Dieses Verfahren kann so oft wiederholt werden, bis wir zu einer polynomiellen Gleichung in einer Variable genau so viele Lösungen (inklusive Vielfachheit) wie der Grad des Ausdrucks (größter Exponent der Monome in der polynomiellen Gleichung) finden (<i>Zerfällungskörper</i>). In Aufgabe 4 haben Sie etwa zu der polynomiellen Gleichung $X^4-X^2-2=0$ vom Grad 4, die über $\\mathbb{Q}$ keine Nullstellen hat, in zwei Schritten eine Körpererweiterung von $\\mathbb{Q}$ bestimmt, über die $X^4-X^2-2=0$ genau 4 Lösungen (inklusive Vielfachheiten) besitzt. Sie haben $i$ nochmal erfunden!\n",
    "    \n",
    "Der algebraische Abschluss ist, salopp gesagt, die maximale Eskalation von Zerfällungskörpern. Mit den Werkzeugen dieses Blattes können wir keine Zahlen definieren, die nicht schon im algebraischen Abschluss liegen. Warum?\n",
    "    \n",
    "Fassen Sie bitte in eigenen Worten zusammen, wie die Konstruktion des algebraischen Abschlusses funktioniert und welche Eigenschaften er hat. Erklären Sie in eigenen Worten, warum wir mit den algebraischen Werkzeugen dieses Blattes nicht \"weiter\" als den algebraischen Abschluss kommen. Begründen Sie, weshalb der algebraische Abschluss eines abzählbaren Körpers abzählbar ist.\n",
    "</div>"
   ]
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***"
   ]
  },
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   "metadata": {
    "tags": []
   },
   "source": [
    "### Ausblick"
   ]
  },
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   "metadata": {},
   "source": [
    "Mit dem Wissen der Existenz eines (bis auf Isomorphie) eindeutigen algebraischen Abschlusses eines Körpers kann man viele schöne Dinge definieren und beweisen. Etwa kann man gezielte Körpererweiterungen betrachten: Zu jedem $\\alpha \\in \\overline{K}$ sei \n",
    "$$ K(\\alpha) := \\bigcap_{K \\cup \\{ \\alpha \\} \\subseteq M \\subseteq \\overline{K} } M$$\n",
    "der Schnitt aller Körper im algebraischen Abschluss, die $K$ und $\\alpha$ enthalten. $K(\\alpha)$ ist als Schnitt von Körpern wieder ein Körper, genauer eine Körpererweiterung von $K$, und ist sogar isomorph zu $K(\\mu_{\\alpha,K})$. Mit dieser Isomorphie folgt die vorhin angedeutete minimale Eigenschaft der über die Faktorringkonstruktion gebildete Körpererweiterung. Mit einer Induktion über den Polynomgrad folgt auch die minimale Eigenschaft der im \"Zerfällungskörper\"-Abschnitt konstruierten Körpererweiterung, an die Sie bisjetzt ohne auch nur den Ansatz einer Begründung glauben mussten.\n",
    "\n",
    "Die Gaußschen Zahlen $\\mathbb{Q}(i)$ sind ein Beispiel für eine derartige gezielte Körpererweiterung von $\\mathbb{Q}$ und bilden den Ausgangspunkt für das noch ungelöste Gaußsche Kreisproblem. Ein weiteres, durchaus bekannteres Beispiel für eine derartige Körpererweiterung ist $ \\mathbb{C}$, der Körper der komplexen Zahlen. Zunächst ist $\\mathbb{C}$ der algebraische Abschluss von $\\mathbb{R}$. Tatsächlich liegt aber so wenig \"zwischen\" dem algebraischen Abschluss $\\mathbb{C}$ und $\\mathbb{R}$, dass man nur ein einziges Element \"dazunehmmen\" braucht! Es gilt: \n",
    "$$  \\mathbb{C} = \\mathbb{R}(i).$$\n",
    "\n",
    "Mit dem algebraischen Abschluss als Grundlage kann man sich auch weiteren Zahlen zuwenden. Was ist etwa mit Zahlen in $\\mathbb{C}$, die nicht im algebraischen Abschluss von $\\mathbb{Q}$ liegen? Zum Verständnis: Es gilt tatsächlich $\\overline{\\mathbb{Q}} \\subseteq \\overline{\\mathbb{R}} = \\mathbb{C}$ infolge der Inklusion $\\mathbb{Q} \\subseteq \\mathbb{R}$ (algebraisches Abschließen erhält Inklusionen). Alle solchen Zahlen, die nicht in $\\overline{Q}$ liegen, nennt man <b>transzendent</b> und haben wieder berühmte Vertreter, etwa das holde $\\pi$, die seit der Antike mit Neugierde umgebenen Kreiszahl, oder den ehrwürdigen $e$, Begründer der Exponentialfunktion! Ich hoffe, Ihnen mit diesem Blatt ausreichende Grundlagen vermittelt zu haben, sodass Sie sich eigenständig wie Sie wollen mit diesen faszinierenden Themen auseinandersetzen können und später diese Welten mit neugierigen Schülern teilen können.  "
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