Undergraduate Commutative Algebra

ISBN-10: 0521458897
ISBN-13: 9780521458894
Edition: 1995
List price: $51.00 Buy it from $30.98
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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  More...

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Book details

List price: $51.00
Copyright year: 1995
Publisher: Cambridge University Press
Publication date: 11/30/1995
Binding: Paperback
Pages: 168
Size: 6.00" wide x 9.00" long x 0.50" tall
Weight: 0.814
Language: English

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.

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

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