Cohomology for bicomodules. Separable and Maschke functors
Rings and Algebras
2007-05-23 v1
Abstract
We introduce the category of bicomodules for a comonad in a Grothendieck category whose underlying functor is right exact and preserves direct sums. We characterize comonads with a separable forgetful functor by means of cohomology groups using cointegrations into bicomodules. We present two applications: the characterization of coseparable corings stated in [11], and the characterization of coseparable coalgebras coextensions stated in [16].
Cite
@article{arxiv.math/0608195,
title = {Cohomology for bicomodules. Separable and Maschke functors},
author = {L. El Kaoutit and J. Vercruysse},
journal= {arXiv preprint arXiv:math/0608195},
year = {2007}
}