Pub. Date:
Cambridge University Press
Undergraduate Commutative Algebra / Edition 1

Undergraduate Commutative Algebra / Edition 1


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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.

Product Details

ISBN-13: 9780521458894
Publisher: Cambridge University Press
Publication date: 12/28/2002
Series: London Mathematical Society Student Texts Series , #29
Edition description: New Edition
Pages: 168
Sales rank: 743,740
Product dimensions: 5.98(w) x 8.98(h) x 0.39(d)

Table of Contents

Hello!; 1. Basics; 2. Modules; 3. Noetherian rings; 4. Finite extensions and Noether normalisation; 5. The nullstellensatz and spec A; 6. Rings of fractions S-1A and localisation; 7. Primary decomposition; 8. DVRs and normal integral domains; 9. Goodbye!; Bibliography.

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