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Exercises in Classical Ring Theory

  • Textbook
  • © 1995

Overview

Authors:
  1. T. Y. Lam

    1. Department of Mathematics MA-01, University of California, Berkeley, USA

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Part of the book series: Problem Books in Mathematics (PBM)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Wedderburn-Artin Theory

    • T. Y. Lam
    Pages 1-34

  3. Jacobson Radical Theory

    • T. Y. Lam
    Pages 35-68

  4. Introduction to Representation Theory

    • T. Y. Lam
    Pages 69-101

  5. Prime and Primitive Rings

    • T. Y. Lam
    Pages 103-150

  6. Introduction to Division Rings

    • T. Y. Lam
    Pages 151-190

  7. Ordered Structures in Rings

    • T. Y. Lam
    Pages 191-209

  8. Local Rings, Semilocal Rings, and Idempotents

    • T. Y. Lam
    Pages 211-256

  9. Perfect and Semiperfect Rings

    • T. Y. Lam
    Pages 257-275

  10. Back Matter

    Pages 277-288
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Keywords

About this book

Based in large part on the comprehensive "First Course in Ring Theory" by the same author, this book provides a comprehensive set of problems and solutions in ring theory that will serve not only as a teaching aid to instructors using that book, but also for students, who will see how ring theory theorems are applied to solving ring-theoretic problems and how good proofs are written.
The author demonstrates that problem-solving is a lively process: in "Comments" following many solutions he discusses what happens if a hypothesis is removed, whether the exercise can be further generalized, what would be a concrete example for the exercise, and so forth. The book is thus much more than a solution manual.

Authors and Affiliations

  • Department of Mathematics MA-01, University of California, Berkeley, USA

    T. Y. Lam

Bibliographic Information

  • Book Title: Exercises in Classical Ring Theory

  • Authors: T. Y. Lam

  • Series Title: Problem Books in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4757-3987-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1995

  • eBook ISBN: 978-1-4757-3987-9Published: 29 June 2013

  • Series ISSN: 0941-3502

  • Series E-ISSN: 2197-8506

  • Edition Number: 1

  • Number of Pages: XVI, 288

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Algebra

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