Introduction to commutative algebra
著者
書誌事項
Introduction to commutative algebra
（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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