Introductory lectures on rings and modules
By: John A. Beachy.
Series: London Mathematical Society student texts ;; 47
Publisher: Cambridge University Press
Published: 1999
Place of publication: Cambridge; New York
Language: eng
Number of pages: 238
Subjects: Noncommutative rings.; Modules (Algebra)
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. 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. This book can be used as a first-year graduate text or as a reference for advanced undergraduates."--Jacket.
Notes: Includes bibliographical references (p. 229-230) and indexes.