Introduction to commutative algebra
Author(s)
Bibliographic Information
Introduction to commutative algebra
(Addison-Wesley series in mathematics)(Advanced book program)
CRC Press, 2019, c2016
- : hbk., student economy ed
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Note
"First published 2016 by Westview Press"--T.p. verso
Includes bibliographical references (p. viii) and index
Description and Table of Contents
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
by "Nielsen BookData"