A Quick Review of Commutative Algebra
by Sudhir R. Ghorpade
Publisher: Indian Institute of Technology, Bombay 2000
Number of pages: 13
These notes attempt to give a rapid review of the rudiments of classical commutative algebra. Some of the main results whose proofs are outlined here are: Hilbert basis theorem, primary decomposition of ideals in noetherian rings, Krull intersection theorem, Going up and Going down theorems for integral extensions, Noether's Normalization Lemma and Hilbert's Nullstellensatz.
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by J.S. Milne
These notes prove the basic theorems in commutative algebra required for algebraic geometry and algebraic groups. They assume only a knowledge of the algebra usually taught in advanced undergraduate or first-year graduate courses.
by Tom Marley, Laura Lynch - University of Nebraska - Lincoln
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