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A Course in Homological Algebra

  • Textbook
  • © 1997

Overview

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

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Table of contents (11 chapters)

Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematical Sciences, State University of New York, Binghamton, USA

    Peter J. Hilton

  • Department of Mathematics, University of Central Florida, Orlando, USA

    Peter J. Hilton

  • Mathematik ETH-Zentrum, Zürich, Switzerland

    Urs Stammbach

Bibliographic Information

  • Book Title: A Course in Homological Algebra

  • Authors: Peter J. Hilton, Urs Stammbach

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4419-8566-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Hardcover ISBN: 978-0-387-94823-2Published: 17 January 1997

  • Softcover ISBN: 978-1-4612-6438-5Published: 03 September 2012

  • eBook ISBN: 978-1-4419-8566-8Published: 05 September 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 2

  • Number of Pages: XII, 366

  • Topics: Algebra, K-Theory

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