**Commutative Algebra**

by Pete L. Clark

**Publisher**: University of Georgia 2015**Number of pages**: 363

**Description**:

Contents: 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; Picard groups.

Download or read it online for free here:

**Download link**

(1.9MB, PDF)

## Similar books

**The Algebraic Theory of Modular Systems**

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'.

(

**9757**views)

**Trends in Commutative Algebra**

by

**Luchezar L. Avramov, at al.**-

**Cambridge University Press**

This book focuses on the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology and representation theory, and combinatorics, with all necessary background provided.

(

**11033**views)

**Determinantal Rings**

by

**Winfried Bruns, Udo Vetter**-

**Springer**

Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. The book gives a coherent treatment of the structure of determinantal rings. The approach is via the theory of algebras with straightening law.

(

**11344**views)

**Theory and Applications of Lattice Point Methods for Binomial Ideals**

by

**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.

(

**9114**views)