**Commutative Algebra**

by Keerthi Madapusi

**Publisher**: Harvard University 2007**Number of pages**: 177

**Description**:

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 and the Main Theorem of Zariski; Regular Sequences and Depth; The Cohen Macaulay Condition; Homological Theory of Regular Rings; Formal Smoothness and the Cohen Structure Theorems; etc.

Download or read it online for free here:

**Download link**

(multiple formats)

## Similar books

**Commutative Algebra**

by

**Pete L. Clark**-

**University of Georgia**

Contents: Introduction to Commutative Rings; Introduction to Modules; Ideals; Examples of Rings; Swan's Theorem; Localization; Noetherian Rings; Boolean rings; Affine algebras and the Nullstellensatz; The spectrum; Integral extensions; etc.

(

**5543**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.

(

**1013**views)

**A Course In Commutative Algebra**

by

**Robert B. Ash**-

**University of Illinois**

This is a text for a basic course in commutative algebra, it should be accessible to those who have studied algebra at the beginning graduate level. The book should help the student reach an advanced level as quickly and efficiently as possible.

(

**12730**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.

(

**5783**views)