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18.702 Algebra II, Spring 2008

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dc.contributor.author Artin, Michael en_US
dc.coverage.temporal Spring 2008 en_US
dc.date.issued 2008-06
dc.identifier 18.702-Spring2008
dc.identifier local: 18.702
dc.identifier local: IMSCP-MD5-e3d2762641d0c5b4bb1c653cdead8a9d
dc.identifier.uri http://hdl.handle.net/1721.1/66919
dc.description.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. en_US
dc.language en-US en_US
dc.relation en_US
dc.relation en_US
dc.rights.uri Usage Restrictions: This site (c) Massachusetts Institute of Technology 2011. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license") unless otherwise noted. The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions. en_US
dc.subject Sylow theorems en_US
dc.subject Group Representations en_US
dc.subject definitions en_US
dc.subject unitary representations en_US
dc.subject characters en_US
dc.subject Schur's Lemma en_US
dc.subject Rings: Basic Definitions en_US
dc.subject homomorphisms en_US
dc.subject fractions en_US
dc.subject Factorization en_US
dc.subject unique factorization en_US
dc.subject Gauss' Lemma en_US
dc.subject explicit factorization en_US
dc.subject maximal ideals en_US
dc.subject Quadratic Imaginary Integers en_US
dc.subject Gauss Primes en_US
dc.subject quadratic integers en_US
dc.subject ideal factorization en_US
dc.subject ideal classes en_US
dc.subject Linear Algebra over a Ring en_US
dc.subject free modules en_US
dc.subject integer matrices en_US
dc.subject generators and relations en_US
dc.subject structure of abelian groups en_US
dc.subject Rings: Abstract Constructions en_US
dc.subject relations in a ring en_US
dc.subject adjoining elements en_US
dc.subject Fields: Field Extensions en_US
dc.subject algebraic elements en_US
dc.subject degree of field extension en_US
dc.subject ruler and compass en_US
dc.subject symbolic adjunction en_US
dc.subject finite fields en_US
dc.subject Fields: Galois Theory en_US
dc.subject the main theorem en_US
dc.subject cubic equations en_US
dc.subject symmetric functions en_US
dc.subject primitive elements en_US
dc.subject quartic equations en_US
dc.subject quintic equations en_US
dc.title 18.702 Algebra II, Spring 2008 en_US
dc.title.alternative Algebra II en_US


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