18.702 Algebra II, Spring 2008

Title:	18.702 Algebra II, Spring 2008
Author:	Artin, Michael
Issue Date:	2008-06
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.
URI:	http://hdl.handle.net/1721.1/66919
Other Identifiers:	18.702-Spring2008
Other Identifiers:	18.702 IMSCP-MD5-e3d2762641d0c5b4bb1c653cdead8a9d
Has Version	http://www.acikders.org.tr/course/view.php?id=5
Is Based On	http://hdl.handle.net/1721.1/45579
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, 270102, Algebra and Number Theory

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