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Commutative Algebra Books

This section contains free e-books and guides on Commutative Algebra, some of the resources in this section can be viewed online and some of them can be downloaded.

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):

s 443Pages

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):

s 266Pages

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):

s 87Pages

Commutative Algebra I

This note covers the following topics: introduction to commutative rings, introduction to modules, ideals, examples of rings, Swan's theorem, localization, Noetherian rings, boolean rings, Affine algebras and the Nullstellensatz, the spectrum, integral extensions, factorization, dedekind domains and picard groups.

Author(s):

s NAPages

Commutative Algebra II

Added till here on 20-4-13   Commutative Algebra

Author(s):

s 170Pages

A Quick Review of Commutative Algebra

These notes attempt to give a rapid review of the rudiments of Classical Commutative Algebra. Proofs of several of the results are also outlined.

Author(s):

s 64Pages

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):

s 64Pages

A Course in Commutative Algebra

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Author(s):

s NAPages

Commutator Theory for Congruence Modular Varieties

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Author(s):

s NAPages

Constructive Aspects of the Inverse Galois Problem

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Author(s):

s NAPages