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Undergraduate Commutative Algebra

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ISBN-10: 0521458897

ISBN-13: 9780521458894

Edition: 1995

Authors: Miles Reid, C. M. Series, J. W. Bruce

List price: $52.99
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Description:

In this well-written introduction to commutative algebra, the author shows the link between commutative ring theory and algebraic geometry. In addition to standard material, the book contrasts the methods and ideology of modern abstract algebra with concrete applications in algebraic geometry and number theory. Professor Reid begins with a discussion of modules and Noetherian rings before moving on to finite extensions and the Noether normalization. Sections on the nullstellensatz and rings of fractions precede sections on primary decomposition and normal integral domains. This book is ideal for anyone seeking a primer on commutative algebra.
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Book details

List price: $52.99
Copyright year: 1995
Publisher: Cambridge University Press
Publication date: 11/30/1995
Binding: Paperback
Pages: 168
Size: 6.02" wide x 8.94" long x 0.39" tall
Weight: 0.550
Language: English

Miles Reid is a Professor of Mathematics at the Mathematics Institute, University of Warwick.

Hello!
Basics
Modules
Noetherian rings
Finite extensions and Noether normalisation
The nullstellensatz and spec A
Rings of fractions S-1A and localisation
Primary decompositionv
DVRs and normal integral domains
Goodbye
Bibliography