Separable functors in corings Gómez Torrecillas, José 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. 2024-12-13T09:27:55Z 2024-12-13T09:27:55Z 2002-04-22 journal article Gómez-Torrecillas, J., Separable functors in corings, International Journal of Mathematics and Mathematical Sciences, 30, 627071, 23 pages, 2002. https://doi.org/10.1155/S016117120201270X https://hdl.handle.net/10481/97978 10.1155/S016117120201270X eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Wiley