書誌事項

Introduction to commutative algebra

M.F. Atiyah, I.G. MacDonald

(Addison-Wesley series in mathematics)(Advanced book program)

CRC Press, 2019, c2016

  • : hbk., student economy ed

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注記

"First published 2016 by Westview Press"--T.p. verso

Includes bibliographical references (p. viii) and index

内容説明・目次

内容説明

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.

目次

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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