Introductory Lectures on Rings and Modules (London Mathematical Society Student Texts, Series Number 47) (Volume 0) - Softcover

Beachy, John A.

Softcover

ISBN 10: 0521644070 ISBN 13: 9780521644075

Publisher: Cambridge University Press, 1999

Synopsis

The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer's criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates.

About this title

Book Description

The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates.

Review

"The lucid style, the detailed proofs and the many worked examples make this book highly recommendable." Monatshefte fur Mathematik

Edition details

• Publisher: Cambridge University Press
• Publication date: 1999
• Language: English
• ISBN 10: 0521644070
• ISBN 13: 9780521644075
• Binding: Paperback
• Edition number: 1
• Number of pages: 248