15 citations · 29 across the 16 of their papers we have counts for
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math.RA2005
The Galois theory of matrix -rings
Tomasz Brzezinski, Ryan B. Turner
A theory of monoids in the category of bicomodules of a coalgebra or -rings is developed. This can be viewed as a dual version of the coring theory. The notion of a matrix r…
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.RA2005
Strong connections and the relative Chern-Galois character for corings
Gabriella Böhm, Tomasz Brzezinski
The Chern-Galois theory is developed for corings or coalgebras over non-commutative rings. As the first step the notion of an entwined extension as an extension of algebras within…