Equivalence of categories, Gruson-Jensen duality, and applications

Details Equivalence of categories, Gruson-Jensen duality, and applications Equivalence of categories, Gruson-Jensen duality, and applications

2011-10-04

arxiv.org/abs/1110.0554v1

Mathematics

Category Theory

accepted, to appear, J. Algebra Appl., 2011

Scientific paper

For coalgebras $C$ over a field, we study when the categories ${}^C\Mm$ of left $C$-comodules and $\Mm^C$ of right $C$-comodules are symmetric categories, in the sense that there is a duality between the categories of finitely presented unitary left $R$-modules and finitely presented unitary left $L$-modules, where $R$ and $L$ are the functor rings associated to the finitely accessible categories ${}^C\Mm$ and $\Mm^C$.

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