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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …