79 citations · 180 across the 28 of their papers we have counts for
35 papers
On the Hopf envelope of finite-dimensional bialgebras
Alessandro Ardizzoni, Claudia Menini, Paolo Saracco
The Hopf envelope of a bialgebra is the free Hopf algebra generated by the given bialgebra. Its existence, as well as that of the cofree Hopf algebra, is a well-known fact in Hopf…
BiHom-NS-algebras, twisted Rota-Baxter operators and generalized Nijenhuis operators
Ling Liu, Abdenacer Makhlouf, Claudia Menini +1
The purpose of this paper is to introduce and study BiHom-NS-algebras, which are a generalization of NS-algebras using two homomorphisms. Moreover, we discuss their relationships w…
Pre-rigid Monoidal Categories
Alessandro Ardizzoni, Isar Goyvaerts, Claudia Menini
Liftable pairs of adjoint functors between braided monoidal categories in the sense of \cite{GV-OnTheDuality} provide auto-adjunctions between the associated categories of bialgebr…
Tensor products and perturbations of BiHom-Novikov-Poisson algebras
Ling Liu, Abdenacer Makhlouf, Claudia Menini +1
We study BiHom-Novikov-Poisson algebras, which are twisted generalizations of Novikov-Poisson algebras and Hom-Novikov-Poisson algebras, and find that BiHom-Novikov-Poisson algebra…
Monadic vs Adjoint Decomposition
Alessandro Ardizzoni, Claudia Menini
It is known that the so-called monadic decomposition, applied to the adjunction connecting the category of bialgebras to the category of vector spaces via the tensor and the primit…
BiHom-Novikov algebras and infinitesimal BiHom-bialgebras
Ling Liu, Abdenacer Makhlouf, Claudia Menini +1
We introduce and study infinitesimal BiHom-bialgebras, BiHom-Novikov algebras, BiHom-Novikov-Poisson algebras, and find some relations among these concepts. Our main result is to s…