3 citations · 5 across the 8 of their papers we have counts for
20 papers
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.
The structure of weak coalgebra-Galois extensions
Tomasz Brzezinski, Ryan B. Turner, Adam P. Wrightson
Weak coalgebra-Galois extensions are studied. A notion of an invertible weak entwining structure is introduced. It is proven that, within an invertible weak entwining structure, th…
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…
Yang-Baxter Systems and Entwining Structures
Tomasz Brzezinski, Florin F. Nichita
It is shown that a Yang-Baxter system can be constructed from any entwining structure. It is also shown that, conversely, Yang-Baxter systems of certain type lead to entwining stru…
The Chern-Galois character
Tomasz Brzezinski, Piotr M. Hajac
Following the idea of Galois-type extensions and entwining structures, we define the notion of a principal extension of noncommutative algebras. We show that modules associated to…
Dirac monopoles from the Matsumoto non-commutative spheres
Tomasz Brzezinski, Andrzej Sitarz
It is shown that the non-commutative three-sphere introduced by Matsumoto is a total space of the quantum Hopf bundle over the classical two-sphere. A canonical connection is const…