## 18.702 Algebra II, Spring 2008

##### Author(s)

Artin, Michael
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##### Alternative title

Algebra II

##### Metadata

Show full item record##### Abstract

This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory.

##### Date issued

2008-06##### Other identifiers

18.702-Spring2008

local: 18.702

local: IMSCP-MD5-e3d2762641d0c5b4bb1c653cdead8a9d

##### Keywords

Sylow theorems, Group Representations, definitions, unitary representations, characters, Schur's Lemma, Rings: Basic Definitions, homomorphisms, fractions, Factorization, unique factorization, Gauss' Lemma, explicit factorization, maximal ideals, Quadratic Imaginary Integers, Gauss Primes, quadratic integers, ideal factorization, ideal classes, Linear Algebra over a Ring, free modules, integer matrices, generators and relations, structure of abelian groups, Rings: Abstract Constructions, relations in a ring, adjoining elements, Fields: Field Extensions, algebraic elements, degree of field extension, ruler and compass, symbolic adjunction, finite fields, Fields: Galois Theory, the main theorem, cubic equations, symmetric functions, primitive elements, quartic equations, quintic equations