28 citations · 71 across the 23 of their papers we have counts for
7 papers · 1 filter
Two-sided (two-cosided) Hopf modules and Doi-Hopf modules for quasi-Hopf algebras
D. Bulacu, S. Caenepeel
Let be a finite dimensional quasi-Hopf algebra over a field and a right -comodule algebra in the sense of Hausser and Nill. We first show that on the …
Semisimplicity of the categories of Yetter-Drinfeld modules and Long dimodules
S. Caenepeel, T. Guédénon
Let be a field, and a Hopf algebra with bijective antipode. If is commutative, noetherian, semisimple and cosemisimple, then the category of Y…
Twistings, crossed coproducts and Hopf-Galois coextensions
S. Caenepeel, Dingguo Wang, Yanxin Wang
Let be a Hopf algebra. Ju and Cai introduced the notion of twisting of an -module coalgebra. In this note, we study the relationship between twistings, crossed coproducts an…
Projectivity of a relative Hopf module over the subring of coinvariants
S. Caenepeel, T. Guédeénon
Let be a commutative ring, a faithfully flat Hopf algebra with bijective antipode, a -flat right -comodule algebra. We investigate when a relative Hopf module is…
On good filtration dimensions for standardly stratified algebras
Bin Zhu, S. Caenepeel
-good filtration dimensions of modules and of algebras are introduced by Parker for quasi-hereditary algebras. These concepts are now generalized to the setting of standard…
Separable bimodules and approximation
S. Caenepeel, Bin Zhu
Using approximations, we give several characterizations of separability of bimodules. We also discuss how separability properties can be used to transfer some representation theore…