Equivalences of comodule categories for coalgebras over rings

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dc.creatorAl-Takhman, Khaled
dc.date2001-09-10
dc.date.accessioned2026-07-07T04:43:19Z
dc.date.available2026-07-07T04:43:19Z
dc.descriptionIn this article we defined and studied quasi-finite comodules, the cohom functors for coalgebras over rings. linear functors between categories of comodules are also investigated and it is proved that good enough linear functors are nothing but a cotensor functor. Our main result of this work characterizes equivalences between comodule categories generalizing the Morita-Takeuchi theory to coalgebras over rings. Morita-Takeuchi contexts in our setting is defined and investigated, a correspondence between strict Morita-Takeuchi contexts and equivalences of comodule categories over the involved coalgebras is obtained. Finally we proved that for coalgebras over QF-rings Takeuchi's representation of the cohom-functor is also valid.
dc.description30 pages, xy-pic. To appear in Jornal of pure and applied algebra
dc.identifierhttps://arxiv.org/abs/math/0109061
dc.identifierhttp://arxiv.org/abs/math/0109061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62169
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject16W30
dc.titleEquivalences of comodule categories for coalgebras over rings
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