9 citations · 10 across the 5 of their papers we have counts for
5 papers
Weak bialgebras and monoidal categories
G. Böhm, S. Caenepeel, K. Janssen
We study monoidal structures on the category of (co)modules over a weak bialgebra. Results due to Nill and Szlachányi are unified and extended to infinite algebras. We discuss the…
Multiplier Hopf and bi-algebras
K. Janssen, J. Vercruysse
We propose a categorical interpretation of multiplier Hopf algebras, in analogy to usual Hopf algebras and bialgebras. Since the introduction of multiplier Hopf algebras by Van Dae…
Strong group coalgebras
S. Caenepeel, K. Janssen
We introduce strong group coalgebras, as a generalization of strongly graded coalgebras. We give several characterizations, and study two special types of strong group coalgebras,…
Group corings
S. Caenepeel, K. Janssen, S. H. Wang
We introduce group corings, and study functors between categories of comodules over group corings, and the relationship to graded modules over graded rings. Galois group corings ar…
Partial (co)actions of Hopf algebras and partial Hopf-Galois theory
S. Caenepeel, K. Janssen
We introduce partial (co)actions of a Hopf algebra on an algebra. To this end, we introduce first the notion of lax coring, generalizing Wisbauer's notion of weak coring. We al…