3 papers
math.RA2015
Hereditary triangular matrix comonads
Laiachi El Kaoutit, José Gómez-Torrecillas
We recognise Harada's generalized categories of diagrams as a particular case of modules over a monad defined on a finite direct product of additive categories. We work in the dual…
math.RA2009
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…
math.RA2009
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…