16 citations · 34 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
{sigma, tau}-Rota-Baxter operators, infinitesimal Hom-bialgebras and the associative (Bi)Hom-Yang-Baxter equation
Ling Liu, Abdenacer Makhlouf, Claudia Menini +1
We introduce the concept of {sigma, tau}-Rota-Baxter operator, as a twisted version of a Rota-Baxter operator of weight zero. We show how to obtain a certain {sigma, tau}-Rota-Baxt…
BiHom-pre-Lie algebras, BiHom-Leibniz algebras and Rota-Baxter operators on BiHom-Lie algebras
Ling Liu, Abdenacer Makhlouf, Claudia Menini +1
We investigate some properties of Rota-Baxter operators on BiHom-Lie algebras. Along the way, we introduce BiHom analogues of pre-Lie and Leibniz algebras.
Rota-Baxter operators on BiHom-associative algebras and related structures
Ling Liu, Abdenacer Makhlouf, Claudia Menini +1
The purpose of this paper is to study Rota-Baxter operators for BiHom-associative algebras. Moreover, we introduce and discuss the properties of the notions of BiHom-(tri)dendrifor…