Commutative Algebra
by Keerthi Madapusi
Publisher: Harvard University 2007
Number of pages: 177
Description:
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.
Download or read it online for free here:
Download link
(multiple formats)
Similar books
Introduction to Commutative Algebraby Thomas J. Haines - University of Maryland
Notes for an introductory course on commutative algebra. Algebraic geometry uses commutative algebraic as its 'local machinery'. The goal of these lectures is to study commutative algebra and some topics in algebraic geometry in a parallel manner.
(11958 views)
The CRing Project: a collaborative open source textbook on commutative algebraby Shishir Agrawal, et al. - CRing Project
The CRing project is an open source textbook on commutative algebra, aiming to comprehensively cover the foundations needed for algebraic geometry at the EGA or SGA level. Suitable for a beginning undergraduate with a background in abstract algebra.
(11732 views)
The Algebraic Theory of Modular Systemsby 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'.
(11245 views)
Theory and Applications of Lattice Point Methods for Binomial Idealsby Ezra Miller - arXiv
This is a survey of lattice point methods for binomial ideals. It is aimed at students and researchers in algebra; it includes many examples, open problems, and elementary introductions to the motivations and background from outside of algebra.
(10499 views)