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Wide Morita contexts, relative injectivity and equivalence results

By N. Chifan, S. Dăscălescu and C. Năstăsescu

Abstract

We extend Morita theory to abelian categories by using wide Morita contexts. Several equivalence results are given for wide Morita contexts between abelian categories, widely extending equivalence theorems for categories of modules and comodules due to Kato, Müller and Berbec. In the case of Grothendieck categories we derive equivalence results by using quotient categories. We apply the general equivalence results to rings with identity, rings with local units, graded rings, Doi-Hopf modules and coalgebras

Topics: wide Morita context, quotient category, ring with local units, graded ring, Doi-Hopf module, Hopf algebra (co)action
Year: 2012
OAI identifier: oai:CiteSeerX.psu:10.1.1.237.6341
Provided by: CiteSeerX
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