2 papers
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.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…