79 citations · 322 across the 42 of their papers we have counts for
47 papers
Two-sided crossed products
Florin Panaite
Given two associative algebras A, C and a linear space V together with some linear maps R_1, R_2, R_3, E satisfying some conditions, we define an associative algebra structure on A…
L-R-crossed products
Florin Panaite
Given an associative algebra H, a linear space U and some linear maps J, T, γ, ηsatisfying some axioms, we define an associative algebra structure on U\otimes H, called an L-R-cros…
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…
Generalized NS-algebras
Cyrille Ospel, Florin Panaite, Pol Vanhaecke
We generalize to arbitrary categories of algebras the notion of an NS-algebra. We do this by using a bimodule property, as we did for defining the general notions of a dendriform a…
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…
Polarization and deformations of generalized dendriform algebras
Cyrille Ospel, Florin Panaite, Pol Vanhaecke
We generalize three results of M. Aguiar, which are valid for Loday's dendriform algebras, to arbitrary dendriform algebras, i.e., dendriform algebras associated to algebras satisf…