Introductory lectures on rings and modules

Introductory lectures on rings and modules

by John A. Beachy

Part of 47

1999

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"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.

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