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Invertible unital bimodules over rings with local units, and related exact sequences of groups
L. El Kaoutit, J. Gómez-Torrecillas
Given an extension of rings with same set of local units, inspired by the works of Miyashita, we construct four exact sequences of groups relating Picard's groups o…
Corings with decomposition and semiperfect corings
L. El Kaoutit, J. Gómez-Torrecillas
We give a characterization, in terms of Galois infinite comatrix corings, of the corings that decompose as a direct sum of left comodules which are finitely generated as left modul…
Coinduction functor and simple comodules
L. El Kaoutit, J. Gómez-Torrecillas
Consider a coring with exact rational functor, and a finitely generated and projective right comodule. We construct a functor (\emph{coinduction functor}) which is right adjoint to…
On the set of grouplikes of a coring
L. El Kaoutit, J. Gomez-Torrecillas
We focus our attention to the set $\gl{\coring{C}}$ of grouplike elements of a coring $\coring{C}$ over a ring . We do some observations on the actions of the groups and…