Mal'cev, Protomodular, Homological and Semi-Abelian Categories (Hardcover) (ISBN-13: 9781402019616)

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.

Author: Francis Borceux,Dominique Bourn
ISBN-10: 1402019610
ISBN-13: 9781402019616
Publisher: Springer
Language: English
Published: 02/29/2004
Pages: 480
Format: Hardcover
Weight: 2.15lbs
Size: 9.92h x 6.36w x 1.04d