3 citations · 8 across the 5 of their papers we have counts for
5 papers
On the Bourbaki's fixed point theorem and the axiom of choice
Mohssin Zarouali-Darkaoui
In this note we generalize the Moroianu's fixed point theorem. We propose a very elegant common proof of the Bourbaki's fixed point theorem and our result. We apply our result to g…
Adjoint and Frobenius Pairs of Functors, Equivalences, and the Picard Group for Corings
Mohssin Zarouali-Darkaoui
We study adjoint and Frobenius pairs of functors, equivalences, and the Picard group for corings.
The Picard Group of Corings
Mohssin Zarouali-Darkaoui
We introduce the Picard group of corings. We extend the well-known exact sequence from algebras and coalgebras over fields to corings. We extend the Aut-Pic property to corings and…
Adjoint and Frobenius Pairs of Functors for Corings
M. Zarouali-Darkaoui
We investigate adjoint and Frobenius pairs between categories of comodules over rather general corings. We particularize to the case of the adjoint pair of functors associated to a…
Comatrix Coring generalized and Equivalences of Categories of Comodules
Mohssin Zarouali-Darkaoui
We extend the comatrix coring to the case of a quasi-finite bicomodule. We also generalize some of its interesting properties. We study equivalences between categories of comodules…