Introduction To Commutative Algebra, Student Economy Edition: 1st Edition (Hardback) book cover

Introduction To Commutative Algebra, Student Economy Edition

1st Edition

By Michael Atiyah

CRC Press

0 pages

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Hardback: 9780367319885
pub: 2019-05-07
eBook (VitalSource) : 9780429493621
pub: 2018-04-27
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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.

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

About the Author

Atiyah, Michael

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Physics