28 citations · 43 across the 5 of their papers we have counts for
5 papers
Constructing infinite Comatrix Corings from colimits
S. Caenepeel, E. De Groot, J. Vercruysse
We propose a class of infinite comatrix corings, and describe them as colimits of systems of usual comatrix corings. The infinite comatrix corings of El Kaoutit and Gómez Torrecill…
Galois corings applied to partial Galois theory
S. Caenepeel, E. De Groot
Partial Galois extensions were recently introduced by Dokuchaev, Ferrero and Paques. We introduce partial Galois extensions for noncommutative rings, using the theory of Galois cor…
Galois theory for weak Hopf algebras
S. Caenepeel, E. De Groot
We develop Hopf-Galois theory for weak Hopf algebras, and recover analogs of classical results for Hopf algebras. Our methods are based on the recently introduced Galois theory for…
Galois theory for comatrix corings: descent theory, Morita theory, Frobenius and separability properties
S. Caenepeel, E. De Groot, J. Vercruysse
El Kaoutit and Gómez Torrecillas introduced comatrix corings, generalizing Sweedler's canonical coring, and proved a new version of the Faithfully Flat Descent Theorem. They also i…
Frobenius Functors of the second kind
S. Caenepeel, E. De Groot, G. Militaru
A pair of adjoint functors is called a Frobenius pair of the second type if is a left adjoint of for some category equivalences and . Frobenius ring extens…