Articles liés à Mal'cev, Protomodular, Homological and Semi-Abelian...

Mal'cev, Protomodular, Homological and Semi-Abelian Categories - Couverture souple

Borceux, Francis; Bourn, Dominique

 
9789048165513: Mal'cev, Protomodular, Homological and Semi-Abelian Categories
Couverture souple
ISBN 10 : 9048165512 ISBN 13 : 9789048165513
Editeur : Springer, 2010

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Francis Borceux is a category theorist at the University of Louvain, Belgium. He has developed research in algebra and essentially taught geometry, number theory, and algebra courses.

À propos de la quatrième de couverture

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
9048165512
ISBN 13 
9789048165513
Reliure
Broché
Numéro d'édition
1
Nombre de pages
494
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