3 citations · 5 across the 8 of their papers we have counts for
9 papers · 1 filter
Complete coverings and Galois corings
Tomasz Brzezinski, Adam P Wrightson
It is shown that any finite complete covering of a non-commutative algebra in the sense of Calow and Matthes (J. Geom. Phys. 32 (2000), 114--165) gives rise to a Galois coring.
Galois comodules
Tomasz Brzezinski
Galois comodules of a coring are studied. The conditions for a simple comodule to be a Galois comodule are found. A special class of Galois comodules termed principal comodules is…
On comatrix corings and bimodules
Tomasz Brzezinski, Jose Gomez-Torrecillas
To any bimodule which is finitely generated and projective on one side one can associate a coring, known as a comatrix coring. A new description of comatrix corings in terms of dat…
On coseparable and biseparable corings
Tomasz Brzezinski, Lars Kadison, Robert Wisbauer
A relationship between coseparable corings and separable non-unital rings is established. In particular it is shown that an A-coring C has an associative A-balanced product. A Mori…
Towers of corings
Tomasz Brzezinski
The notion of a Frobenius coring is introduced, and it is shown that any such coring produces a tower of Frobenius corings and Frobenius extensions. This establishes a one-to-one c…
The structure of corings with a grouplike element
Tomasz Brzezinski
Characteristic properties of corings with a grouplike element are analysed. Associated differential graded rings are studied. A correspondence between categories of comodules and f…