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
5 papers · 2 filters
Comatrix Corings and Galois Comodules over Firm Rings
J. Gomez-Torrecillas, J. Vercruysse
We give a notion of a comatrix coring which embodies all former constructions and, what is more interesting, leads to the formulation of a notion of Galois coring and the statement…
The Brauer group of Azumaya corings and the second cohomology group
S. Caenepeel, B. Femic
Let be a commutative ring. An Azumaya coring consists of a couple $(S,\Cc)$, with a faithfully flat commutative -algebra, and an -coring $\Cc$ satisfying certain prop…
Duality for finite Hopf algebras explained by corings
S. Caenepeel, D. Quinn, S. Raianu
We give a coring version for the duality theorem for actions and coactions of a finitely generated projective Hopf algebra. We also provide a coring analogue for a theorem of H.-J.…
On the cohomology of relative Hopf modules
S. Caenepeel, T. Guédénon
Let be a Hopf algebra over a field , and an -comodule algebra. The categories of comodules and relative Hopf modules are then Grothendieck categories with enough inje…
Fully bounded noetherian rings and Frobenius extensions
S. Caenepeel, T. Guédénon
Let be a ring morphism, and a right -linear map with and . If is a Frobenius -ring, then we can define a trace map $\…