**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

**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.

(

**4581**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.

(

**5052**views)

**Lectures on Commutative Algebra**

by

**Sudhir R. Ghorpade**-

**Indian Institute of Technology, Bombay**

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.

(

**4211**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'.

(

**4466**views)