3 papers
math.QA2005
The Serre spectral sequence of a noncommutative fibration for de Rham cohomology
EJ Beggs, Tomasz Brzezinski
For differential calculi on noncommutative algebras, we construct a twisted de Rham cohomology using flat connections on modules. This has properties similar, in some respects, to…
math.RA2005
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.
math.QA2004
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…