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Introductory Lectures on Rings and Modules

Introductory Lectures on Rings and Modules

$69.99

Part of London Mathematical Society Student Texts

  • Date Published: May 1999
  • availability: Available
  • format: Paperback
  • isbn: 9780521644075

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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.

    • Extremely reader-friendly presentation
    • Fully class tested
    • Contains a wealth of exercises
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    Reviews & endorsements

    "The lucid style, the detailed proofs and the many worked examples make this book highly recommendable." Monatshefte fur Mathematik

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    Product details

    • Date Published: May 1999
    • format: Paperback
    • isbn: 9780521644075
    • length: 248 pages
    • dimensions: 229 x 152 x 14 mm
    • weight: 0.37kg
    • contains: 250 exercises
    • availability: Available
  • Table of Contents

    Preface
    1. Rings
    2. Modules
    3. Structure of noncommutative rings
    4. Representations of finite groups
    Appendix
    Bibliography
    List of symbols
    Index.

  • Author

    John A. Beachy, Northern Illinois University

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