10 citations · 13 across the 6 of their papers we have counts for
6 papers
Hom-unitality and hom-associative structures
Germán García Butenegro, Abdennour Kitouni, Sergei Silvestrov
We study hom-associative structures on general possibly non-associative algebras focusing on one-sided and two-sided unital algebras. New characterizations and aspects of these str…
On properties and classification of a class of -dimensional -Hom-Lie algebras with a nilpotent twisting map
Abdennour Kitouni, Sergei Silvestrov
The aim of this work is to investigate the properties and classification of an interesting class of -dimensional -Hom-Lie algebras with a nilpotent twisting map and eight…
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…
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…
On Structure and Central Extensions of -Lie Algebras Induced by -Lie Algebras
Abdennour Kitouni, Abdenacer Makhlouf
The purpose of this paper is to investigate -Lie algebras induced by -Lie algebras and trace maps. We highlight a comparison of their structure properties (solvability, n…
Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras
J. Arnlind, A. Kitouni, A. Makhlouf +1
The aim of this paper is to compare the structure and the cohomology spaces of Lie algebras and induced -Lie algebras.