Commutative Algebra by Columbia University

Introduction to Commutative Algebra by Jason McCullough

This note covers the following topics: Primary Decomposition, Filtrations and Completions, Dimension Theory, Integral Extensions, Homological Methods, Depth and Cohen Macaulay Modules, Injective Modules over Noetherian Rings, Local Cohomology, Applications and Generalizations.

Author(s): Jason McCullough

268 Pages

Commutative Algebra by Columbia University

Commutative algebra is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Basic commutative algebra will be explained in this document.

Author(s): Columbia University

443 Pages

A Term of Commutative Algebra

This book is a clear, concise, and efficient textbook, aimed at beginners, with a good selection of topics. Topics covered includes: Rings and Ideals, Radicals, Filtered Direct Limits, Cayley–Hamilton Theorem, Localization of Rings and Modules, Krull–Cohen–Seidenberg Theory, Rings and Ideals, Direct Limits, Filtered direct limit.

Author(s): Allen Altman and Steven Kleiman

266 Pages

Introduction to Commutative Algebra II

Goal of this course note is to teach commutative algebra and some topics in algebraic geometry in a parallel manner.

Author(s): Thomas J. Haines

87 Pages

Commutative Algebra II

Added till here on 20-4-13   Commutative Algebra

Author(s): Mel Hochster

170 Pages

Lectures on Commutative Algebra

This note covers the following topics: Rings and Modules, Noetherian Rings, Integral Extensions, Dedekind Domains and Primary Decomposition of Modules.

Author(s): Sudhir R. Ghorpade

64 Pages

Commutator Theory for Congruence Modular Varieties

Currently this section contains no detailed description for the page, will update this page soon.

Author(s): NA

NA Pages

Constructive Aspects of the Inverse Galois Problem

Currently this section contains no detailed description for the page, will update this page soon.

Author(s): NA

NA Pages