Separable functors in corings

J. Gómez-Torrecillas

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 30, 1-23

Abstract:

We develop some basic functorial techniques for the study of the categories of comodules over corings. In particular, we prove that the induction functor stemming from every morphism of corings has a left adjoint, called ad-induction functor. This construction generalizes the known adjunctions for the categories of Doi-Hopf modules and entwined modules. The separability of the induction and ad-induction functors are characterized, extending earlier results for coalgebra and ring homomorphisms, as well as for entwining structures.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:627071

DOI: 10.1155/S016117120201270X

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