Overview

This introductory account of commutative algebra is aimed at advanced undergraduates and first year graduate students. Assuming only basic abstract algebra, it provides a good foundation in commutative ring theory, from which the reader can proceed to more advanced works in commutative algebra and algebraic geometry. The style throughout is rigorous but concrete, with exercises and examples given within chapters, and hints provided for the more challenging problems used in the subsequent development. After reminders about basic material on commutative rings, ideals and modules are extensively discussed, with applications including to canonical forms for square matrices. The core of the book discusses the fundamental theory of commutative Noetherian rings. Affine algebras over fields, dimension theory and regular local rings are also treated, and for this second edition two further chapters, on regular sequences and Cohen-Macaulay rings, have been added. This book is ideal as a route into commutative algebra.

ISBN-13

9780521646239

ISBN-10

0521646235

Weight

1.19 Pounds

Dimensions

6.00 x 0.92 x 9.00 In

List Price

$67.99

Edition

2nd Edition

Format

Paperback

Language

English

Pages

368 pages

Publisher

Cambridge University Press

Published On

2001-01-04



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