Noncommutative Algebra

  • Benson Farb
  • R. Keith Dennis

Part of the Graduate Texts in Mathematics book series (GTM, volume 144)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. The Core Course

    1. Front Matter
      Pages 1-1
    2. Benson Farb, R. Keith Dennis
      Pages 3-27
    3. Benson Farb, R. Keith Dennis
      Pages 29-56
    4. Benson Farb, R. Keith Dennis
      Pages 57-79
    5. Benson Farb, R. Keith Dennis
      Pages 81-108
    6. Benson Farb, R. Keith Dennis
      Pages 109-148
  3. Selected Topics

    1. Front Matter
      Pages 149-149
    2. Benson Farb, R. Keith Dennis
      Pages 151-159
    3. Benson Farb, R. Keith Dennis
      Pages 161-175
    4. Benson Farb, R. Keith Dennis
      Pages 177-183
    5. Benson Farb, R. Keith Dennis
      Pages 185-198
  4. Supplementary Exercises

    1. Front Matter
      Pages 199-199
    2. Benson Farb, R. Keith Dennis
      Pages 201-214
  5. Back Matter
    Pages 215-226

About this book

Introduction

About This Book This book is meant to be used by beginning graduate students. It covers basic material needed by any student of algebra, and is essential to those specializing in ring theory, homological algebra, representation theory and K-theory, among others. It will also be of interest to students of algebraic topology, functional analysis, differential geometry and number theory. Our approach is more homological than ring-theoretic, as this leads the to many important areas of mathematics. This ap­ student more quickly proach is also, we believe, cleaner and easier to understand. However, the more classical, ring-theoretic approach, as well as modern extensions, are also presented via several exercises and sections in Chapter Five. We have tried not to leave any gaps on the paths to proving the main theorem- at most we ask the reader to fill in details for some of the sideline results; indeed this can be a fruitful way of solidifying one's understanding.

Keywords

K-theory algebra commutative algebra commutative ring representation theory

Authors and affiliations

  • Benson Farb
    • 1
  • R. Keith Dennis
    • 2
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA
  2. 2.Department of MathematicsCornell UniversityIthacaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0889-1
  • Copyright Information Springer-Verlag New York Inc. 1993
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6936-6
  • Online ISBN 978-1-4612-0889-1
  • Series Print ISSN 0072-5285
  • About this book