**Introduction to Commutative Algebra**

by Thomas J. Haines

**Publisher**: University of Maryland 2005**Number of pages**: 87

**Description**:

Notes for an introductory course on commutative algebra. Algebraic geometry uses commutative algebraic as its 'local machinery'. The goal of these lecture notes is to study commutative algebra and some topics in algebraic geometry in a parallel manner.

Download or read it online for free here:

**Download link**

(730KB, 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.

(

**3676**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.

(

**6481**views)

**A Primer of Commutative Algebra**

by

**J.S. Milne**

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.

(

**5913**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.

(

**2816**views)