We introduce the Hom-analogue of the LR-smash product and use it to define the Hom-
analogue of the diagonal crossed product. When H is a finite dimensional Hom-Hopf …

We introduce and study the definition, main properties and applications of iterated twisted
tensor products of algebras, motivated by the problem of defining a suitable representative …

If H is a Hopf algebra with bijective antipode and α, β∈ Aut Hopf (H), we introduce a
category _H YD^ H (α, β), generalizing both Yetter-Drinfeld modules and anti-Yetter-Drinfeld …

Let (A, Δ) be a weak multiplier Hopf algebra. It is a pair of a non-degenerate algebra A, with
or without identity, and a coproduct Δ: A⟶ M (A⊗ A), satisfying certain properties. In this …

We introduce a more general version of the so-called LR-smash product and study its
relations with other kinds of crossed products (two-sided smash and crossed product and …

Bialgebroids (respectively Hopf algebroids) are bialgebras (Hopf algebras) over
noncommutative rings. Drinfeld twist techniques are particularly useful in the (deformation) …

We introduce the concept of pseudotwistor (with particular cases called twistor and braided
twistor) for an algebra (A, μ, u) in a monoidal category, as a morphism T: A⊗ A→ A⊗ A …

In this paper, we continue the study of weak multiplier Hopf algebras. We recall the notions
of the source and target maps $\varepsilon_s $ and $\varepsilon_t $, as well as of the …

Let H be a quasi-Hopf algebra. We apply results obtained in [8] to give necessary and
sufficient conditions for the forgetful functor from Doi–Hopf modules, two-sided Hopf …

Let A be an algebra in a monoidal category \calC, and let X be an object in \calC. We study A-
(co) ring structures on the left A-module A⊗ X. These correspond to (co) algebra structures in …