**A Primer of Commutative Algebra**

by J.S. Milne

2011**Number of pages**: 75

**Description**:

These notes prove the basic theorems in commutative algebra required for algebraic geometry and algebraic groups. They assume only a knowledge of the algebra usually taught in advanced undergraduate or first-year graduate courses. However, they are quite concise.

Download or read it online for free here:

**Download link**

(690KB, PDF)

## Similar books

**A Quick Review of Commutative Algebra**

by

**Sudhir R. Ghorpade**-

**Indian Institute of Technology, Bombay**

These notes give a rapid review of the rudiments of classical commutative algebra. Some of the main results whose proofs are outlined here are: Hilbert basis theorem, primary decomposition of ideals in noetherian rings, Krull intersection theorem.

(

**6700**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.

(

**1873**views)

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

by

**Shishir Agrawal, et al.**-

**CRing Project**

The CRing project is an open source textbook on commutative algebra, aiming to comprehensively cover the foundations needed for algebraic geometry at the EGA or SGA level. Suitable for a beginning undergraduate with a background in abstract algebra.

(

**5826**views)

**Homological Conjectures**

by

**Tom Marley, Laura Lynch**-

**University of Nebraska - Lincoln**

This course is an overview of Homological Conjectures, in particular, the Zero Divisor Conjecture, the Rigidity Conjecture, the Intersection Conjectures, Bass' Conjecture, the Superheight Conjecture, the Direct Summand Conjecture, etc.

(

**7428**views)