**Lectures on Commutative Algebra**

by Sudhir R. Ghorpade

**Publisher**: Indian Institute of Technology, Bombay 2006**Number of pages**: 64

**Description**:

These lecture notes attempt to give a rapid review of the rudiments of classical commutative algebra. Topics covered: rings and modules, Noetherian rings, integral extensions, Dedekind domains, and primary decomposition of modules.

Download or read it online for free here:

**Download link**

(480KB, PDF)

## Similar books

**Commutative Algebra**

by

**Keerthi Madapusi**-

**Harvard University**

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; etc.

(

**6088**views)

**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'.

(

**5041**views)

**Introduction to Commutative Algebra**

by

**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.

(

**5579**views)

**Commutative Algebra**

by

**Jacob Lurie, Akhil Mathew**-

**Harvard University**

Topics: Unique factorization; Basic definitions; Rings of holomorphic functions; R-modules; Ideals; Localization; SpecR and Zariski topology; The ideal class group; Dedekind domains; Hom and the tensor product; Exactness; Projective modules; etc.

(

**5777**views)