… related with them, ie entwining structures and weak entwining structures. The main motivation
of this … A bicategory is normal if the unit isomorphisms are identities. Every bicategory is …

In this paper we introduce the notion of weak quasi-entwining structure as a generalization
of quasi-entwining structures and weak entwining structures. Also, we formulate the notions …

… Secondly, we work over cowreaths which can be viewed as generalized entwining structures…
As c acts on the right on P, we can view both as forming a bicategory b with two objects, say …

… of an entwining structure (see [8, §32]). The two notions are related as follows: a triple (A,
C)ψ is an entwining … [5, (2.5)]), we may define a bicategory CORINGV of corings and braided …

… rightarrow GF\) is called a mixed distributive law or an entwining from the monad \({\mathbb
{F}}… For a more general approach to entwining structures in the setting of monoidal categories …

In the preceeding paper we constructed an infinite exact sequence a la Villamayor–Zelinsky
for a symmetric finite tensor category. It consists of cohomology groups evaluated at three …

In this paper, we extend the result proved by Ulbrich about the characterization of Galois
extensions linked to group algebras upon the non-associative (quasigroup) quasigroupoid …

In this paper we give necessary and sufficient conditions for a comodule magma over a weak
Hopf quasigroup to have a total integral, thus extending the theories developed in the Hopf …

Given a Hopf algebra H , Brzeziński and Militaru have shown that each braided commutative
Yetter–Drinfeld H -module algebra A gives rise to an associative A -bialgebroid structure on …

… Based on the descent theory for corings (see, [6], [9]) and the fact that an arbitrary Hopf module
can be considered as a special case of an entwining module and hence a comodule over …