80 citations · 124 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
The derivation problem for quandle algebras
M. Elhamdadi, A. Makhlouf, S. Silvestrov +1
The purpose of this paper is to introduce and investigate the notion of derivation for quandle algebras. More precisely, we describe the symmetries on structure constants providing…
Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras
F. Ammar, A. Makhlouf, S. Silvestrov
In this paper we construct ternary -Virasoro-Witt algebras which -deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos using envel…
Generalization of n-ary Nambu algebras and beyond
H. Ataguema, A. Makhlouf, S. Silvestrov
The aim of this paper is to introduce -ary Hom-algebra structures generalizing the -ary algebras of Lie type enclosing -ary Nambu algebras, -ary Nambu-Lie algebras, …
On Hom-algebra structures
A. Makhlouf, S. Silvestrov
A Hom-algebra structure is a multiplication on a vector space where the structure is twisted by a homomorphism. The structure of Hom-Lie algebra was introduced by Hartwig, Larsson…