320 citations
- International Solvay InstitutesBE18 papers
- European Southern ObservatoryCL9 papers
- Université Libre de BruxellesBE9 papers
- Imperial College LondonGB5 papers
- KU LeuvenBE5 papers
- University of BucharestRO5 papers
- University of MonsBE5 papers
- University of OxfordGB5 papers
- Gdańsk University of TechnologyPL4 papers
- Pennsylvania State UniversityUS4 papers
- Space Telescope Science InstituteUS4 papers
- Stockholm UniversitySE4 papers
4 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…
Local units versus local projectivity. Dualisations: Corings with local structure maps
Joost Vercruysse
We unify and generalize different notions of local units and local projectivity. We investigate the connection between these properties by constructing elementary algebras from loc…
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 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…