Description: Mal'Cev, Protomodular, Homological and Semi-Abelian Categories, Hardcover by Borceux, Francis; Bourn, Dominique, ISBN 1402019610, ISBN-13 9781402019616, Like New Used, Free shipping in the US The purpose of th 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. Th 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. Th 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.
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Book Title: Mal'Cev, Protomodular, Homological and Semi-Abelian Categories
Number of Pages: Xiv, 480 Pages
Publication Name: Mal'cev, Protomodular, Homological and Semi-Abelian Categories
Language: English
Publisher: Springer Netherlands
Subject: Group Theory, Algebra / Abstract, Topology
Publication Year: 2004
Type: Textbook
Item Weight: 67.7 Oz
Item Length: 9.3 in
Subject Area: Mathematics
Author: Dominique Bourn, Francis Borceux
Series: Mathematics and Its Applications Ser.
Item Width: 6.1 in
Format: Hardcover