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Mal'cev, Protomodular, Homological and Semi-Abelian Categories
Paperback
Series: Mathematics and Its Applications, Book 566
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ISBN10: 9048165512
ISBN13: 9789048165513
Publisher: Springer Nature
Published: Dec 15 2010
Pages: 480
Weight: 1.52
Height: 1.00 Width: 6.14 Depth: 9.21
Language: English
ISBN13: 9789048165513
Publisher: Springer Nature
Published: Dec 15 2010
Pages: 480
Weight: 1.52
Height: 1.00 Width: 6.14 Depth: 9.21
Language: English
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.
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.
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