41 citations · 50 across the 15 of their papers we have counts for
16 papers
Morita theory for quantales
Bachuki Mesablishvili
Morita theory for quantales is developed. The main result of the paper is a characterization of those quantaloids (categories enriched in the symmetric monoidal closed category of…
Descent cohomology and factorizations of groups
Victor Bovdi, Bachuki Mesablishvili
The aim of the paper is to give a full classification of factorizations of groups in terms of descent cohomology (pointed) sets introduced in [5]. We show that descent cohomology i…
Effective descent morphisms for Banach modules
Bachuki Mesablishvili
It is proved that a norm-decreasing homomorphism of commutative Banach algebras is an effective descent morphism for Banach modules if and only if it is a weak retract.
Some exact sequences associated with adjunctions in bicategories. Applications
J. Gómez-Torrecillas, B. Mesablishvili
We prove that the classical result asserting that the relative Picard group of a faithfully flat extension of commutative rings is isomorphic to the first Amitsur cohomology group…
The Fundamental Theorem for weak braided bimonads
Bachuki Mesablishvili, Robert Wisbauer
The theories of (Hopf) bialgebras and weak (Hopf) bialgebras have been introduced for vector space categories over fields and make heavily use of the tensor product. As first gener…
Generalised bialgebras and entwined monads and comonads
Muriel Livernet, Bachuki Mesablishvili, Robert Wisbauer
Jean-Louis Loday has defined generalised bialgebras and proved structure theorems in this setting which can be seen as general forms of the Poincaré-Birkhoff-Witt and the Cartier-M…