Wide Morita contexts, relative injectivity and equivalence results

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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.
35 pages

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Rings and Algebras, Quantum Algebra, 16D90; 18E15; 16W30; 16W50

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http://salesiana.dossiersoluciones.com/handle/123456789/70257

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402385
 http://arxiv.org/abs/math/0402385

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arXiv