Equivalence and Duality for Module Categories

(Withh Tilting and Cotilting for Rings)

Robert R. Colby, Kent R. Fuller - Collection Cambridge Tracts in Mathematics

152 pages, parution le 13/05/2004

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Résumé

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.

L'auteur - Robert R. Colby

Robert R. Colby is professor emeritus at the University of Hawaii and independent scholar et the university of Iowa

L'auteur - Kent R. Fuller

Kent R. Fuller is professor of mathemetics at the University of Iowa

Sommaire

Some Module Theoretic Observations
Representable Equivalences
Tilting Modules
Representable Dualities
Cotilting

A Adjoints and Category Eqivalence
B Noetherian Serial Rings

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	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Robert R. Colby, Kent R. Fuller
Collection	Cambridge Tracts in Mathematics
Parution	13/05/2004
Nb. de pages	152
Format	16 x 23,5
Couverture	Relié
Poids	385g
Intérieur	Noir et Blanc
EAN13	9780521838214
ISBN13	978-0-521-83821-4