7 citations · 12 across the 11 of their papers we have counts for
11 papers
Averaging operators on -deformed Witt and -deformed algebras
Ismail Laraiedh, Sergei Silvestrov
The aim of this paper is to give some constructions results of averaging operators on Hom-Lie algebras. The homogeneous averaging operators on -deformed Witt and -deformed $W…
Admissible Hom-Novikov-Poisson and Hom-Gelfand-Dorfman color Hom-algebras
Ismail Laraiedh, Sergei Silvestrov
The main feature of color Hom-algebras is that the identities defining the structures are twisted by even linear maps. The purpose of this paper is to introduce and give some const…
Hom-Leibniz bialgebras and BiHom-Leibniz dendriform algebras
Ismail Laraiedh, Sergei Silvestrov
The notion of a Hom-Leibniz bialgebra is introduced and it is shown that matched pairs of Hom-Leibniz algebras, Manin triples of Hom-Leibniz algebras and Hom-Leibniz bialgebras are…
Transposed Hom-Poisson and Hom-pre-Lie Poisson algebras and bialgebras
Ismail Laraiedh, Sergei Silvestrov
The notions of transposed Hom-Poisson and Hom-pre-Lie Poisson algebras are introduced. Their bimodules and matched pairs are defined and the relevant properties and theorems are gi…
Constructions of BiHom-X algebras and bimodules of some BiHom-dialgebras
Ismail Laraiedh, Sergei Silvestrov
The aim of this paper is to introduce and to give some constructions results of BiHom-X algebras by using Yau's twisting, Rota Baxter and Some elements of centroids. Next, we defin…
Bimodules and matched pairs of noncommutative BiHom-(pre)-Poisson algebras
Ismail Laraiedh
The purpose of this paper is to introduce the notion of noncommutative BiHom-pre-Poisson algebra. Also we establish the bimodules and matched pairs of noncommutative BiHom-(pre)-Po…
Representations, extensions and deformations of -BiHom-Lie algebras
Ismail Laraiedh
In this paper we define and discuss the representations of -BiHom-Lie algebra. We also introduce -extensions and -extensions of -BiHom-Lie algebras and prove…
Structures of BiHom-Poisson algebras
Sylvain Attan, Ismail Laraiedh
This paper gives some constructions results and examples of BiHom-Poisson algebras. Next, BiHom-flexible algebras are defined and it is shown that admissible BiHom-Poisson algebras…
Construtions and bimodules of BiHom-alternative and BiHom-Jordan algebras
Sylvain Attan, Ismail Laraiedh
The aim of this paper is to give some construction results and examples of BiHom-alternative and BiHom-Jordan algebras. Next, we define BiHom-alternative and BiHom-Jordan (bi)modul…
Constructions and generalised derivations of multiplicative n-BiHom-Lie color algebras
Ibrahima Bakayoko, Ismail Laraiedh
The aim of this paper is introduce and give some constructions results and examples of n-BiHom-Lie color algebras. Next, we introduce the definition of BiHom-modules over n- BiHom-…
Constructions and -Extensions of 3-Bihom-Lie Superalgebras
Ismail Laraiedh
The aim of this paper is to generalise the construction of -Bihom-Lie superalgebras and we provide some properties can be lifted to its -extensions such as nilpotency,…