Equivalence of categories, Gruson-Jensen duality, and applications

S. Crivei; M. C. Iovanov

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arXiv · 1110.0554

Equivalence of categories, Gruson-Jensen duality, and applications

S. Crivei·M. C. Iovanov

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Abstract

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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S. Crivei, M. C. Iovanov. 2011-10-04. Equivalence of categories, Gruson-Jensen duality, and applications. https://arxiv.org/abs/1110.0554

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