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A First Course in Noncommutative Rings

  • T. Y. Lam

Part of the Graduate Texts in Mathematics book series (GTM, volume 131)

Table of contents

  1. Front Matter
    Pages i-xix
  2. T. Y. Lam
    Pages 1-47
  3. T. Y. Lam
    Pages 48-100
  4. T. Y. Lam
    Pages 101-152
  5. T. Y. Lam
    Pages 153-201
  6. T. Y. Lam
    Pages 202-260
  7. T. Y. Lam
    Pages 261-278
  8. T. Y. Lam
    Pages 335-369
  9. Back Matter
    Pages 370-388

About this book

Introduction

A First Course in Noncommutative Rings, an outgrowth of the author's lectures at the University of California at Berkeley, is intended as a textbook for a one-semester course in basic ring theory. The material covered includes the Wedderburn-Artin theory of semisimple rings, Jacobson's theory of the radical, representation theory of groups and algebras, prime and semiprime rings, local and semilocal rings, perfect and semiperfect rings, etc. By aiming the level of writing at the novice rather than the connoisseur and by stressing th the role of examples and motivation, the author has produced a text that is suitable not only for use in a graduate course, but also for self- study in the subject by interested graduate students. More than 400 exercises testing the understanding of the general theory in the text are included in this new edition.

Keywords

Noncummutative rings algebra basic ring theory commutative ring representation theory ring theory

Authors and affiliations

  • T. Y. Lam
    • 1
  1. 1.Department of MathematicsUniversity of California, BerkeleyBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-8616-0
  • Copyright Information Springer-Verlag New York, Inc. 2001
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-95325-0
  • Online ISBN 978-1-4419-8616-0
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site