On the cohomology of comodules over smash coproducts
Abstract
We consider the category of comodules over a smash coproduct coalgebra C H. We show that there is a Grothendieck spectral sequence connecting the derived functors of the Hom functors coming from C H-colinear, H-colinear and rational C-colinear morphisms. We give several applications and connect our results to existing spectral sequences in the literature.
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