**The CRing Project: a collaborative open source textbook on commutative algebra**

by Shishir Agrawal, et al.

**Publisher**: CRing Project 2011**Number of pages**: 493

**Description**:

The CRing project is an open source textbook on commutative algebra, aiming to comprehensively cover the foundations needed for algebraic geometry at the level of EGA or SGA. It is a work in progress. The present project aims at producing a work suitable for a beginning undergraduate with a background in elementary abstract algebra.

Download or read it online for free here:

**Download link**

(2.8MB, PDF)

## Similar books

**Introduction to Twisted Commutative Algebras**

by

**Steven V Sam, Andrew Snowden**-

**arXiv**

An expository account of the theory of twisted commutative algebras, which can be thought of as a theory for handling commutative algebras with large groups of linear symmetries. Examples include the coordinate rings of determinantal varieties, etc.

(

**7727**views)

**Frobenius Splitting in Commutative Algebra**

by

**Karen E. Smith, Wenliang Zhang**-

**arXiv**

Frobenius splitting has inspired a vast arsenal of techniques in commutative algebra, algebraic geometry, and representation theory. The purpose of these lectures is to give a gentle introduction to Frobenius splitting for beginners.

(

**7441**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.

(

**11778**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.

(

**11422**views)