28 citations · 42 across the 3 of their papers we have counts for
3 papers
math.RA2004★ 28 cited
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…
math.RA2004★ 11 cited
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…
math.RA2004★ 3 cited
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…