Undergraduate Commutative Algebra
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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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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $51.00
Copyright year: 1995
Publisher: Cambridge University Press
Publication date: 11/30/1995
Size: 6.00" wide x 9.00" long x 0.50" tall
Miles Reid is a Professor of Mathematics at the Mathematics Institute, University of Warwick.
|Finite extensions and Noether normalisation|
|The nullstellensatz and spec A|
|Rings of fractions S-1A and localisation|
|DVRs and normal integral domains|