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Introductory Lectures on Rings and Modules
Contributor(s): Beachy, John A. (Author)

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 ISBN: 1139173316     ISBN-13: 9781139173315
Publisher: Cambridge University Press
OUR PRICE: $494.00  

Binding Type: Open Ebook - See All Available Formats & Editions
Published: June 2012
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Temporarily out of stock - Will ship within 2 to 5 weeks

Click for more in this series: London Mathematical Society Student Texts
Additional Information
BISAC Categories:
- Mathematics | Algebra - General
Dewey: 512.4
Series: London Mathematical Society Student Texts
Physical Information: 1 pages
Features: Bibliography
 
Descriptions, Reviews, Etc.
Publisher 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. 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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