Introductory lectures on rings and modules

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.

subjects: Modules (Algebra),  Noncommutative rings,  Rings (algebra),  Noncommutative rings (Algebra)