Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings - Couverture rigide

Colby, Robert R.; Fuller, Kent R.

 
9780521838214: Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings
Couverture rigide
ISBN 10 : 0521838215 ISBN 13 : 9780521838214
Editeur : Cambridge University Press, 2004

Synopsis

This book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. In particular, during the past dozen or so years many authors (including the authors of this book) have investigated relationships between categories of modules over a pair of rings that are induced by both covariant and contravariant representable functors, in particular by tilting and cotilting theories. By here collecting and unifying the basic results of these investigations with innovative and easily understandable proofs, the authors' aim is to provide an aid to further research in this central topic in abstract algebra, and a reference for all whose research lies in this field.

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À propos des auteurs

Robert R. Colby is Professor Emeritus at the University of Hawaii and Independent Scholar at the University of Iowa. He is also a member emeritu of the American Mathematical Society. He is responsible for the definition of generalized Morita duality and was one of the first to consider the tilting and cotilting theory of finite dimensional algebras in the more general setting of general ring theory.

Kent R. Fuller is a professor of mathematics at the University of Iowa. He is the author or coauthor of more than 70 research papers in ring and module theory, a dozen of which are joint work with Robert R. Colby. He is also coauthor of the widely known Rings and Categories of Modules. He has lectured on his research in several countries and is a member of the editorial board of the Journal of Algebra and belongs to the American Mathematical Society.

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

Éditeur
Cambridge University Press
Date d'édition
2004
Langue
anglais
ISBN 10 
0521838215
ISBN 13 
9780521838214
Reliure
Relié
Nombre de pages
162
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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