Cohomology for bicomodules. Separable and Maschke functors

Details Cohomology for bicomodules. Separable and Maschke functors Cohomology for bicomodules. Separable and Maschke functors

2006-08-08

arxiv.org/abs/math/0608195v1

Mathematics

Rings and Algebras

Scientific paper

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].

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