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Cohomology for Bicomodules. Separable and Maschke functors
Published online by Cambridge University Press: 30 November 2007
Abstract
We introduce the category of bicomodules for a comonad on 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 [14], and the characterization of coseparable coalgebra coextensions stated in [19].
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- Copyright © ISOPP 2009
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