2 papers
math.RA2018
On -ary Generalization of BiHom-Lie Algebras and BiHom-Associative Algebras
Abdennour Kitouni, Abdenacer Makhlouf, Sergei Silvestrov
The aim of this paper is to introduce -ary BiHom-algebras, generalizing BiHom-algebras. We introduce an alternative concept of BiHom-Lie algebra called BiHom-Lie-Leibniz algebra…
math.RA2015
On -Hom-Lie Algebras Induced by -Hom-Lie Algebras
Abdennour Kitouni, Abdenacer Makhlouf, Sergei Silvestrov
The purpose of this paper is to study the relationships between an -Hom-Lie algebra and its induced -Hom-Lie algebra. We provide an overview of the theory and explore the…