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Title Equivalence and duality for module categories : with tilting and cotilting for rings / Robert R. Colby, Kent R. Fuller.

Publication Info. Cambridge, UK ; New York : Cambridge University Press, 2004.

Item Status

Description 1 online resource (ix, 152 pages).
data file
Bibliography
Physical Medium polychrome
Series Cambridge tracts in mathematics ; 161
Cambridge tracts in mathematics ; 161.
Bibliography Includes bibliographical references (pages 147-150) and index.
Contents Some module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial rings.
Summary 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 a.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Rings (Algebra)
Rings (Algebra)
Modules (Algebra)
Modules (Algebra)
Duality theory (Mathematics)
Duality theory (Mathematics)
Genre/Form Electronic books.
Electronic books.
Added Author Colby, Robert R. (Robert Ray), 1938-
Fuller, Kent R.
Other Form: Print version: Equivalence and duality for module categories. Cambridge, UK ; New York : Cambridge University Press, 2004 (DLC) 2003066663
ISBN 0511188005
9780511188008
0521838215
9780521838214
0511185316 (electronic book)
9780511185311 (electronic book)
0511186142 (electronic book)
9780511186141 (electronic book)
9780511546518 (electronic book)
0511546513 (electronic book)
9780511187070
0511187076
9786610458332
6610458332