Wide Morita contexts in bicategories
LE Kaoutit - arXiv preprint math/0608601, 2006 - arxiv.org
We give a formal concept of (right) wide Morita context between two 0-cells in arbitrary
bicategory. We then construct a new bicategory with the same 0-cells as the oldest one, and …
bicategory. We then construct a new bicategory with the same 0-cells as the oldest one, and …
Invertible unital bimodules over rings with local units, and related exact sequences of groups, II
L El Kaoutit, J Gómez-Torrecillas - Journal of Algebra, 2012 - Elsevier
Let R be a ring with a set of local units, and a homomorphism of groups Θ̲: G→ Pic (R) to
the Picard group of R. We study under which conditions Θ̲ is determined by a factor map …
the Picard group of R. We study under which conditions Θ̲ is determined by a factor map …
Invertible unital bimodules over rings with local units, and related exact sequences of groups
L El Kaoutit, J Gómez-Torrecillas - Journal of Algebra, 2010 - Elsevier
Invertible unital bimodules over rings with local units, and related exact sequences of
groups Page 1 Journal of Algebra 323 (2010) 224–240 Contents lists available at …
groups Page 1 Journal of Algebra 323 (2010) 224–240 Contents lists available at …
Extended distributive law: cowreath over corings
L El Kaoutit - Journal of Algebra and Its Applications, 2010 - World Scientific
We introduce and study comodules over cowreath defined over a given coring. If our coring
arises from an entwining structure, we then give a procedure to construct a cowreath from a …
arises from an entwining structure, we then give a procedure to construct a cowreath from a …
Linear representations and Frobenius morphisms of groupoids
JJ Barbarán Sánchez, L El Kaoutit - SIGMA. Symmetry, Integrability and …, 2019 - emis.de
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 …
necessary conditions under which the induction and co-induction functors between the …
Cohomology for Bicomodules. Separable and Maschke functors
L El Kaoutit, J Vercruysse - Journal of K-Theory, 2009 - cambridge.org
We introduce the category of bicomodules for a comonad on a Grothendieck category
whose underlying functor is right exact and preserves direct sums. We characterize …
whose underlying functor is right exact and preserves direct sums. We characterize …
Categories of comodules and chain complexes of modules
Let denote the coendomorphism left R-bialgebroid associated to a left finitely generated and
projective extension of rings R→ A with identities. We show that the category of left …
projective extension of rings R→ A with identities. We show that the category of left …
[PDF][PDF] Coendomorphism bialgebroid and chain complexes
Inspired by the works of B. Pareigis and D. Tambara, we give a new approach of comparing
the categories of chain complexes of left modules and left comodules over left …
the categories of chain complexes of left modules and left comodules over left …
Cohomology for bicomodules. Separable and Maschke functors
LE Kaoutit, J Vercruysse - arXiv preprint math/0608195, 2006 - arxiv.org
We introduce the category of bicomodules for a comonad in a Grothendieck category whose
underlying functor is right exact and preserves direct sums. We characterize comonads with …
underlying functor is right exact and preserves direct sums. We characterize comonads with …
BOCSES over Small Linear Categories and Corings
L El Kaoutit - The Moroccan Andalusian Meeting on Algebras and …, 2018 - Springer
This note does not claim anything new, since the material exposed here is somehow
folkloric. We provide the main steps in showing the equivalence of categories between the …
folkloric. We provide the main steps in showing the equivalence of categories between the …