79 citations · 322 across the 42 of their papers we have counts for
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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…
BiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras
Giacomo Graziani, Abdenacer Makhlouf, Claudia Menini +1
A BiHom-associative algebra is a (nonassociative) algebra endowed with two commuting multiplicative linear maps such that , for al…
Some (Hopf) algebraic properties of circulant matrices
Helena Albuquerque, Florin Panaite
We study some (Hopf) algebraic properties of circulant matrices, inspired by the fact that the algebra of circulant matrices is isomorphic to the group algebra of the c…