Introduction To Commutative Algebra, Student Economy Edition  book cover
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1st Edition

Introduction To Commutative Algebra, Student Economy Edition




ISBN 9780429493621
Published April 27, 2018 by CRC Press
140 Pages

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Book Description

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

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Author(s)

Biography

Atiyah, Michael