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Introductory Lectures on Rings and Modules

Language EnglishEnglish
Book Paperback
Book Introductory Lectures on Rings and Modules John A. Beachy
Libristo code: 02038935
Publishers Cambridge University Press, April 1999
The focus of this book is the study of the noncommutative aspects of rings and modules, and the styl... Full description
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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. 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.

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About the book

Full name Introductory Lectures on Rings and Modules
Author John A. Beachy
Language English
Binding Book - Paperback
Date of issue 1999
Number of pages 248
EAN 9780521644075
ISBN 0521644070
Libristo code 02038935
Publishers Cambridge University Press
Weight 412
Dimensions 154 x 229 x 16

Categories

Mathematics & Science > Mathematics > Algebra
Medicine & Nursing > Medicine: general issues
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