Wide Morita contexts, relative injectivity and equivalence results

Details Wide Morita contexts, relative injectivity and equivalence results Wide Morita contexts, relative injectivity and equivalence results

2004-02-24

arxiv.org/abs/math/0402385v1

Mathematics

Rings and Algebras

35 pages

Scientific paper

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, Muller 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.

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