Math 552 - Abstract Algebra II
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This is a standard course for second semester graduate students. It covers fields and Galois Theory, basic Ring & Module theory, and elementary homological algebra.
Current semester (Spring 2010)
Prof. C. Weibel
Prerequisites: Algebra I (640:551) or its equivalent
Basic Field Theory: Galois groups, separable and inseparable extensions, solutions of equations, finite fields.
Noetherian rings: chain conditions, Hilbert Basis Theorem, Noether normalization, Hilbert Nullstellensatz.
Basic module theory: Projective and injective modules, resolutions, baby homological algebra.
Finite-dimensional algebras: Simple and semisimple algebras, Artin-Wedderburn Theorem, group rings, Maschke's Theorem. (Class supplement provided)
Previous Semesters
- Fall 2009 (Vasconcelos)
- Fall 2008 (Wilson)
- Fall 2007 (Retakh)
- Fall 2006 (Thomas)
- Fall 2005 (Wilson)
- Fall 2004 (Vasconcelos)
- Fall 2003 (Knop)
- Fall 2002 (Vasconcelos)
Comments on this page should be sent to: bumby@math.rutgers.edu
Last updated: January 1, 2010
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