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math.RA2020
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…
math.RA2020★ 1 cited
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…
math.RA2020★ 3 cited
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…