by Keerthi Madapusi
Publisher: Harvard University 2007
Number of pages: 177
Contents: Graded Rings and Modules; Flatness; Integrality: the Cohen-Seidenberg Theorems; Completions and Hensel's Lemma; Dimension Theory; Invertible Modules and Divisors; Noether Normalization and its Consequences; Quasi-finite Algebras and the Main Theorem of Zariski; Regular Sequences and Depth; The Cohen Macaulay Condition; Homological Theory of Regular Rings; Formal Smoothness and the Cohen Structure Theorems; etc.
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by Robert B. Ash - University of Illinois
This is a text for a basic course in commutative algebra, it should be accessible to those who have studied algebra at the beginning graduate level. The book should help the student reach an advanced level as quickly and efficiently as possible.
by Francis Sowerby Macaulay - Cambridge University Press
Many of the ideas introduced by F.S. Macaulay in this classic book have developed into central concepts in what has become the branch of mathematics known as Commutative Algebra. Today his name is remembered through the term 'Cohen-Macaulay ring'.
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