3 citations · 4 across the 9 of their papers we have counts for
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Representations and O-operators of Hom-(pre)-Jacobi-Jordan algebras
Sylvain Attan
Representations and O-operators of Hom-(pre)-Jacobi-Jordan algebras are introduced and studied. The anticommutator of a Hom-pre-Jacobi-Jordan algebra is a Hom-Jacobi-Jordan algebra…
Representations and relative Rota-Baxter operators of Hom-Leibniz Poisson algebras
Sylvain Attan
Representations and relative Rota-Baxter operators with respect to representations of Hom-Leibniz Poisson algebras are introduced and studied. Some characterizations of these opera…
BiHom-Akivis algebras
Sylvain Attan
BiHom-Akivis algebras are introduced. The BiHom-commutator-BiHom-associator algebra of a regular BiHom-algebra is a BiHom-Akivis algebra. It is shown that BiHom-Akivis algebras can…
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…
Structures and bimodules of simple Hom-alternative algebras
Sylvain Attan
This paper is mainly devoted to a structure study of Hom-alternative algebras . Equivalent conditions for Hom-alternative algebras being solvable, simple and semi-simple are displa…