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All Ireland Algebra Days 2001
May 16-19, 2001
Queen's University Belfast
Belfast, Northern Ireland, UK

Organizers
Tom Laffey (Dublin), Des MacHale (Cork), Martin Mathieu (Belfast; Chair), Martin Newell (Galway)

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Cotilting-type Bimodules Without Obvious Reflexive Modules
by
Gabriella D'Este
Università di Milano

We investigate the reflexive modules with respect to the new generalizations of Morita bimodules, i. e. with respect to the "quasi-cotilting" and the "locally quasi-cotilting" bimodules in the sense of Mantese. Almost all the results follow from a characterization of the indecomposable reflexive modules with respect to decomposable bimodules, defined over arbitrary rings. However, in order to construct cotilting-type bimodules admitting few and non obvious reflexive modules, it suffices to deal with representation-finite algebras, defined over an algebraically closed field K , and with modules and/or bimodules of finite dimension over K .

Date received: April 19, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cage-33.