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Compact Textbooks in Mathematics

From Groups to Categorial Algebra

Introduction to Protomodular and Mal’tsev Categories

Authors: Bourn, Dominique

  • Entirely self-contained non-technical introduction to protomodular categories—and to Mal’tsev categories
  • Hardly any previous knowledge is assumed
  • Examples and exercises isllustrate basic definitions and results 
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eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-57219-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-57218-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book gives a thorough and entirely self-contained, in-depth introduction to a specific approach to group theory, in a large sense of that word. The focus lie on the relationships which a group may have with other groups, via “universal properties”, a view on that group “from the outside”. This method of categorical algebra, is actually not limited to the study of groups alone, but applies equally well to other similar categories of algebraic objects.

By introducing  protomodular categories and Mal’tsev categories, which form a larger class, the structural properties of the category Gp of groups, show how they emerge from four very basic observations about the algebraic litteral calculus and how, studied for themselves at the conceptual categorical level, they lead to the main striking features of the category Gp of groups.

Hardly any previous knowledge of category theory is assumed, and just a little experience with standard algebraic structures such as groups and monoids.  Examples and exercises help understanding the basic definitions and results throughout the text. 


About the authors

Dominique Bourn is Professor at the Université du Littoral in Calais, France.

Table of contents (7 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-57219-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-57218-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
From Groups to Categorial Algebra
Book Subtitle
Introduction to Protomodular and Mal’tsev Categories
Authors
Series Title
Compact Textbooks in Mathematics
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-57219-2
DOI
10.1007/978-3-319-57219-2
Softcover ISBN
978-3-319-57218-5
Series ISSN
2296-4568
Edition Number
1
Number of Pages
XII, 106
Topics