**Commutative Algebra**

by Jacob Lurie, Akhil Mathew

**Publisher**: Harvard University 2010**Number of pages**: 172

**Description**:

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

Download or read it online for free here:

**Download link**

(1.2MB, PDF)

## Similar books

**A Course In Commutative Algebra**

by

**Robert B. Ash**-

**University of Illinois**

This is a text for a basic course in commutative algebra, it should be accessible to those who have studied algebra at the beginning graduate level. The book should help the student reach an advanced level as quickly and efficiently as possible.

(

**17668**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'.

(

**9772**views)

**Commutative Algebra and Noncommutative Algebraic Geometry**

by

**David Eisenbud, et al.**-

**Cambridge University Press**

The books cover birational geometry, D-modules, invariant theory, matrix factorizations, noncommutative resolutions, singularity categories, support varieties, tilting theory, etc. These volumes reflect the lively interaction between the subjects.

(

**6178**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.

(

**10256**views)