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MATH 634: Commutative Algebra (spring
2008)
Instructor: Ken Brown
Meeting Time & Room
Class will start January 29th.
Tentative list of topics:
- Groebner bases
- Ideals: localization, prime ideals, and operations
on ideals
- Modules: graded rings and modules, syzygies, free resolutions
- Noether
normalization and Hilbert's nullstellensatz
- integral dependence, going
up/down, integral closure
- Primary decomposition in Noetherian rings
- Discrete valutation rings
- Hilbert functions and dimension theory
- Tor and Ext, flatness
- (Time permitting) Cohen-Macaulay rings, depth,
regular sequences
Last modified:January 15, 2008
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