Abdennour Kitouni

activity

20152026

collaborators

Showing math.RAShow all

4 papers · 1 filter

math.RA2026

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…

math.RA2023

On properties and classification of a class of $4$ -dimensional $3$ -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 $4$ -dimensional $3$ -Hom-Lie algebras with a nilpotent twisting map $α$ and eight…

math.RA2018

On $n$ -ary Generalization of BiHom-Lie Algebras and BiHom-Associative Algebras

Abdennour Kitouni, Abdenacer Makhlouf, Sergei Silvestrov

The aim of this paper is to introduce $n$ -ary BiHom-algebras, generalizing BiHom-algebras. We introduce an alternative concept of BiHom-Lie algebra called BiHom-Lie-Leibniz algebra…

math.RA2015

On $(n + 1)$ -Hom-Lie Algebras Induced by $n$ -Hom-Lie Algebras

Abdennour Kitouni, Abdenacer Makhlouf, Sergei Silvestrov

The purpose of this paper is to study the relationships between an $n$ -Hom-Lie algebra and its induced $(n + 1)$ -Hom-Lie algebra. We provide an overview of the theory and explore the…

Hom-unitality and hom-associative structures

On properties and classification of a class of 4-dimensional 3-Hom-Lie algebras with a nilpotent twisting map

On n-ary Generalization of BiHom-Lie Algebras and BiHom-Associative Algebras

On (n+1)-Hom-Lie Algebras Induced by n-Hom-Lie Algebras

On properties and classification of a class of $4$ -dimensional $3$ -Hom-Lie algebras with a nilpotent twisting map

On $n$ -ary Generalization of BiHom-Lie Algebras and BiHom-Associative Algebras

On $(n + 1)$ -Hom-Lie Algebras Induced by $n$ -Hom-Lie Algebras