A Course in Homological Algebra

  • Peter J. Hilton
  • Urs Stammbach

Part of the Graduate Texts in Mathematics book series (GTM, volume 4)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Peter Hilton, Urs Stammbach
    Pages 1-9
  3. Peter J. Hilton, Urs Stammbach
    Pages 10-39
  4. Peter J. Hilton, Urs Stammbach
    Pages 40-83
  5. Peter J. Hilton, Urs Stammbach
    Pages 84-115
  6. Peter J. Hilton, Urs Stammbach
    Pages 116-165
  7. Peter J. Hilton, Urs Stammbach
    Pages 166-183
  8. Peter J. Hilton, Urs Stammbach
    Pages 184-228
  9. Peter J. Hilton, Urs Stammbach
    Pages 229-254
  10. Peter J. Hilton, Urs Stammbach
    Pages 255-305
  11. Peter J. Hilton, Urs Stammbach
    Pages 306-330
  12. Peter J. Hilton, Urs Stammbach
    Pages 331-355
  13. Back Matter
    Pages 357-366

About this book

Introduction

We have inserted, in this edition, an extra chapter (Chapter X) entitled "Some Applications and Recent Developments." The first section of this chapter describes how homological algebra arose by abstraction from algebraic topology and how it has contributed to the knowledge of topology. The other four sections describe applications of the methods and results of homological algebra to other parts of algebra. Most of the material presented in these four sections was not available when this text was first published. Naturally, the treatments in these five sections are somewhat cursory, the intention being to give the flavor of the homo­ logical methods rather than the details of the arguments and results. We would like to express our appreciation of help received in writing Chapter X; in particular, to Ross Geoghegan and Peter Kropholler (Section 3), and to Jacques Thevenaz (Sections 4 and 5). The only other changes consist of the correction of small errors and, of course, the enlargement of the Index. Peter Hilton Binghamton, New York, USA Urs Stammbach Zurich, Switzerland Contents Preface to the Second Edition vii Introduction. . I. Modules.

Keywords

Abelian group Adjoint functor Cohomology Coproduct Group theory Homological algebra Representation theory Vector space algebra

Authors and affiliations

  • Peter J. Hilton
    • 1
    • 2
  • Urs Stammbach
    • 3
  1. 1.Department of Mathematical SciencesState University of New YorkBinghamtonUSA
  2. 2.Department of MathematicsUniversity of Central FloridaOrlandoUSA
  3. 3.Mathematik ETH-ZentrumZürichSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-8566-8
  • Copyright Information Springer-Verlag New York, Inc. 1997
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6438-5
  • Online ISBN 978-1-4419-8566-8
  • Series Print ISSN 0072-5285
  • About this book