Introduction To Commutative Algebra, Student Economy Edition

by Michael Atiyah

Overview

This book is designed to be read by students who have had a first elementary course in general algebra. It provides a common generalization of the primes of arithmetic and the points of geometry. The book explains the various elementary operations which can be performed on ideals.

Product Details

ISBN-13:	9780429973253
Publisher:	CRC Press
Publication date:	04/27/2018
Sold by:	Barnes & Noble
Format:	eBook
Pages:	140
File size:	8 MB

About the Author

Atiyah, Michael

Table of Contents

Introduction -- Notation and Terminology -- Rings and Ideals -- Modules -- Rings and Modules of Fractions -- Primary Decomposition -- Integral Dependence and Valuations -- Chain Conditions -- Noetherian Rings -- Artin Rings -- Discrete Valuation Rings and Dedekind Domains -- Completions -- Dimension Theory