Introduction To Commutative Algebra / Edition 1

by Michael F. Atiyah, I.G. MacDonald

Overview

This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.

Product Details

ISBN-13:	9780201407518
Publisher:	Westview Press
Publication date:	01/31/1994
Series:	Addison-Wesley Series in Mathematics
Pages:	138
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Michael Atiyah

Table of Contents

* Introduction * 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