3 citations · 10 across the 10 of their papers we have counts for
12 papers · 1 filter
Galois theory in bicategories
Jose Gomez-Torrecillas, Joost Vercruysse
We develop a Galois (descent) theory for comonads within the framework of bicategories. We give generalizations of Beck's theorem and the Joyal-Tierney theorem. Many examples are p…
Comatrix Corings and Galois Comodules over Firm Rings
J. Gomez-Torrecillas, J. Vercruysse
We give a notion of a comatrix coring which embodies all former constructions and, what is more interesting, leads to the formulation of a notion of Galois coring and the statement…
Galois Corings and a Jacobson-Bourbaki type Correspondence
J. Cuadra, J. Gomez-Torrecillas
The Jacobson-Bourbaki Theorem for division rings was formulated in terms of corings by Sweedler in 1975. Finiteness conditions hypotheses are not required in this new approach. In…
Comatrix Corings an Invertible Bimodules
L. El Kaoutit, J. Gomez-Torrecillas
We extend Masuoka's Theorem [11] concerning the isomorphism between the group of invertible bimodules in a non-commutative ring extension and the group of automorphisms of the asso…
Frobenius functors for corings
J. Gomez-Torrecillas, M. Zarouali Darkaoui
We investigate Frobenius pairs between categories of comodules over rather general corings. We particularize to the case of the adjoint pair of functors associated to a morphism of…
Infinite Comatrix Corings
L. El Kaoutit, J. Gomez-Torrecillas
We characterize the corings whose category of comodules has a generating set of small projective comodules in terms of the (non commutative) descent theory. In order to extricate t…