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Symmetry for comodule categories
Journal article   Peer reviewed

Symmetry for comodule categories

Septimiu Crivei and Miodrag Cristian Iovanov
Journal of algebra and its applications, Vol.11(1), pp.1250009-1250016
2012
DOI: 10.1142/S0219498811005324

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Abstract

For coalgebras C over a field, we study when the categories [Formula: see text] of left C-comodules and [Formula: see text] 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 [Formula: see text] and [Formula: see text].

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