123 citations · 225 across the 59 of their papers we have counts for
59 papers
On the cohomology of comodules over smash coproducts
S. Caenepeel, T. Guédénon
We consider the category of comodules over a smash coproduct coalgebra $C\smashco H$. We show that there is a Grothendieck spectral sequence connecting the derived functors of the…
Descent and Galois theory for Hopf categories
S. Caenepeel, T. Fieremans
Descent theory for linear categories is developed. Given a linear category as an extension of a diagonal category, we introduce descent data, and the category of descent data is is…
Frobenius and separable functors for the category of entwined modules over cowreaths, I: General theory
D. Bulacu, S. Caenepeel, B. Torrecillas
Entwined modules over cowreaths in a monoidal category are introduced. They can be identified to coalgebras in an appropriate monoidal category. It is investigated when such coalge…
Monoidal ring and coring structures obtained from wreaths and cowreaths
D. Bulacu, S. Caenepeel
Let be an algebra in a monoidal category $\Cc$, and let be an object in $\Cc$. We study -(co)ring structures on the left -module $A\ot X$. These correspond to (co)alg…
The uniqueness of braidings on the monoidal category of non-commutative descent data
A. L. Agore, S. Caenepeel, G. Militaru
Let be an algebra over a commutative ring . It is known that the categories of non-commutative descent data, of comodules over the Sweedler canonical coring, of right -mo…
Stable equivalence of Morita type and Frobenius extensions
M. Beattie, S. Caenepeel, S. Raianu
A.S. Dugas and R. Martínez-Villa proved in \cite[Corollary 5.1]{dm} that if there exists a stable equivalence of Morita type between the -algebras and , then it is possib…