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A Quick Review of Commutative Algebra

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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