**A Quick Review of Commutative Algebra**

by Sudhir R. Ghorpade

**Publisher**: Indian Institute of Technology, Bombay 2000**Number of pages**: 13

**Description**:

These notes attempt to 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, Going up and Going down theorems for integral extensions, Noether's Normalization Lemma and Hilbert's Nullstellensatz.

Download or read it online for free here:

**Download link**

(200KB, PDF)

## Similar books

**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.

(

**4529**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.

(

**4420**views)

**Commutative Algebra**

by

**Keerthi Madapusi**-

**Harvard University**

Contents: Graded Rings and Modules; Flatness; Integrality: the Cohen-Seidenberg Theorems; Completions and Hensel's Lemma; Dimension Theory; Invertible Modules and Divisors; Noether Normalization and its Consequences; Quasi-finite Algebras; etc.

(

**5322**views)

**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.

(

**2640**views)