65 citations · 141 across the 14 of their papers we have counts for
15 papers
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…
Azumaya monads and comonads
B. Mesablishvili, R. Wisbauer
The definition of Azumaya algebras over commutative rings require the tensor product of modules over and the twist map for the tensor product of any two -modules. Simila…
Galois functors and generalised Hopf modules
Bachuki Mesablishvili, Robert Wisbauer
As shown in a previous paper by the same authors, the theory of Galois functors provides a categorical framework for the characterisation of bimonads on any category as Hopf monads…
Regular pairings of functors and weak (co)monads
Robert Wisbauer
For functors $L:\A\to \B$ and $R:\B\to \A$ between any categories $\A$ and $\B$, a {\em pairing} is defined by maps, natural in $A\in \A$ and $B\in \B$, $$\xymatrix{\Mor_\B (L(A),B…
Notes on bimonads and Hopf monads
Bachuki Mesablishvili, Robert Wisbauer
For a generalisation of the classical theory of Hopf algebra over fields, A. Bruguières and A. Virelizier study opmonoidal monads on monoidal categories (which they called {\em bim…