8 citations · 26 across the 14 of their papers we have counts for
15 papers
Categorified groupoid-sets and their Burnside ring
Laiachi El Kaoutit, Leonardo Spinosa
We explore the category of internal categories in the usual category of (right) group-sets, whose objects are referred to as categorified group-sets. More precisely, we develop a n…
Linear Representations and Frobenius Morphisms of Groupoids
Juan Jesús Barbarán Sánchez, Laiachi EL Kaoutit
Given a morphism of (small) groupoids with injective object map, we provide sufficient and necessary conditions under which the induction and co-induction functors between the cate…
Invertible unital bimodules over rings with local units, and related exact sequences of groups
L. El Kaoutit, J. Gómez-Torrecillas
Given an extension of rings with same set of local units, inspired by the works of Miyashita, we construct four exact sequences of groups relating Picard's groups o…
On the set of grouplikes of a coring
L. El Kaoutit, J. Gomez-Torrecillas
We focus our attention to the set $\gl{\coring{C}}$ of grouplike elements of a coring $\coring{C}$ over a ring . We do some observations on the actions of the groups and…
Non-commutative integral forms and twisted multi-derivations
Tomasz Brzezinski, Laiachi El Kaoutit, Christian Lomp
Non-commutative connections of the second type or hom-connections and associated integral forms are studied as generalisations of right connections of Manin. First, it is proven th…
Corings with exact rational functors and injective objects
L. El Kaoutit, J. Gómez-Torrecillas
We describe how some aspects of abstract localization on module categories have applications to the study of injective comodules over some special types of corings. We specialize t…