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Morita Duality for Grothendieck Categories with Applications to Coalgebras
Authors:C. Năstăsescu
Affiliation:Faculty of Mathematics , University of Bucharest , Bucharest, Romania
Abstract:Finiteness conditions of reflexive objects of a Morita duality of Grothendieck category is studied. It is observed that the relation between coproduct and product is a fundamental fact. We show that for coalgebras with a duality, the class of reflexive objects coincides with the class of quasi-finite comodules.
Keywords:Morita duality  Grothendieck category  Reflexive objects  Coalgebras  Quasi-finite comodules
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