Undergraduate Commutative Algebra

London Mathematical Society Student Texts

by Miles Reid

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.

Genres: Mathematics, Algebra

168 pages, Paperback

First published November 30, 1995

Reviews

[Sig · Rating 5 out of 5]

Why can't all algebra books have such nice pictures?