28 citations · 71 across the 23 of their papers we have counts for
5 papers · 2 filters
The relative Picard group of a comodule algebra and Harrison cohomology
S. Caenepeel, T. Guedenon
Let be a commutative comodule algebra over a commutative bialgebra . The group of invertible relative Hopf modules maps to the Picard group of , and the kernel is describ…
The equivariant Brauer group of a group
S. Caenepeel, F. Van Oystaeyen, Y. H. Zhang
We consider the Brauer group of a group (finite or infinite) over a commutative ring with identity. A split exact sequence $$1\longrightarrow {\rm Br}'(k)\…
Galois corings applied to partial Galois theory
S. Caenepeel, E. De Groot
Partial Galois extensions were recently introduced by Dokuchaev, Ferrero and Paques. We introduce partial Galois extensions for noncommutative rings, using the theory of Galois cor…
Galois theory for weak Hopf algebras
S. Caenepeel, E. De Groot
We develop Hopf-Galois theory for weak Hopf algebras, and recover analogs of classical results for Hopf algebras. Our methods are based on the recently introduced Galois theory for…
Galois theory for comatrix corings: descent theory, Morita theory, Frobenius and separability properties
S. Caenepeel, E. De Groot, J. Vercruysse
El Kaoutit and Gómez Torrecillas introduced comatrix corings, generalizing Sweedler's canonical coring, and proved a new version of the Faithfully Flat Descent Theorem. They also i…