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Table of contents

  1. Front Matter
    Pages i-xiii
  2. Francis Borceux, Dominique Bourn
    Pages 1-9
  3. Francis Borceux, Dominique Bourn
    Pages 11-123
  4. Francis Borceux, Dominique Bourn
    Pages 125-228
  5. Francis Borceux, Dominique Bourn
    Pages 229-271
  6. Francis Borceux, Dominique Bourn
    Pages 273-317
  7. Francis Borceux, Dominique Bourn
    Pages 319-343
  8. Francis Borceux, Dominique Bourn
    Pages 345-370
  9. Francis Borceux, Dominique Bourn
    Pages 371-398
  10. Back Matter
    Pages 399-479

About this book

Introduction

The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and synthetic notions of Mal'cev, protomodular, homological and semi-abelian categories emerged. These notions force attention on the fibration of points and allow a unified treatment of the main algebraic: homological lemmas, Noether isomorphisms, commutator theory.
The book gives full importance to examples and makes strong connections with Universal Algebra. One of its aims is to allow appreciating how productive the essential categorical constraint is: knowing an object, not from inside via its elements, but from outside via its relations with its environment.
The book is intended to be a powerful tool in the hands of researchers in category theory, homology theory and universal algebra, as well as a textbook for graduate courses on these topics.

Keywords

Abelian group Category theory algebra fibrations homology

Authors and affiliations

  • Francis Borceux
    • 1
  • Dominique Bourn
    • 2
  1. 1.Université de LouvainLouvain-la-NeuveBelgium
  2. 2.Université du LittoralCalaisFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4020-1962-3
  • Copyright Information Springer Science+Business Media B.V. 2004
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-6551-3
  • Online ISBN 978-1-4020-1962-3
  • Buy this book on publisher's site
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