5 citations · 7 across the 10 of their papers we have counts for
10 papers
Non-abelian extensions of Hom-Jacobi-Jordan algebras
Nejib Saadaoui
This paper develops a cohomology theory for Hom-Jacobi-Jordan algebras using and applies it to classify non-abelian extensions. The main result establishes that equivalence classes…
Extensions of (metric) Hom-Jacobi-Jordan algebras
Nejib Saadaoui
The main purpose of this paper is to provide a second cohomology group of a (metric) Hom-Jacobi algebra with coefficients in a given representation. Moreover, we show that second c…
Split extensions of BiHom-Lie algebras
Nejib Saadaoui
In this paper, we introduce the notion of split extension of BiHom- Lie algebra and construct the corresponding cohomology. Also, we establish a one-to-one correspondence between t…
Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras
Anja Arfa, Nejib Saadaoui, Sergei Silvestrov
Several recent results concerning Hom-Leibniz algebra are reviewed, the notion of symmetric Hom-Leibniz superalgebra is introduced and some properties are obtained. Classification…
Non-abelian cohomology and extensions of Hom-algebras via the -Nijenhuis--Richardson bracket
Nejib Saadaoui
This paper develops a cohomology theory for Hom-Leibniz algebras using the -Nijenhuis--Richardson bracket and applies it to classify non-abelian extensions. We introduce left, a…
On -derivations of BiHom-Lie algebras
Nejib Saadaoui, Sergei Silvestrov
In this paper, we generalize the results about generalized derivations of Lie algebras to the case of BiHom-Lie algebras. In particular we give the classification of generalized de…
Cohomology and Deformation of Virasoro Extensions of q-Witt Hom-Lie superalgebra
Abdenacer Makhlouf, Nejib Saadaoui
The purpose of this paper is to study Virasoro extensions of the q-deformed Witt Hom-Lie superalgebra. Moreover, we provide the cohomology and deformations of the Ramond Hom-supera…
Cohomology of n-ary-Nambu-Lie superalgebras and super_1 3-algebra
Faouzi Ammar, Nejib Saadaoui
The purpose of this paper is define the representation and the cohomology of n-ary-Nambu-Lie superalgebras. Morever we study extensions and provide the computation of the derivatio…
Second Cohomology of q-deformed Witt superalgebras
Faouzi Ammar, Abdenacer Makhlouf, Nejib Saadaoui
The purpose of this paper is to compute the second adjoint cohomology group of q-deformed Witt superalgebras. They are Hom-Lie superalgebras obtained by q-deformation of Witt Lie s…
Cohomology of Hom-Lie superalgebras and q-deformed Witt superalgebra
Faouzi Ammar, Abdenacer Makhlouf, Nejib Saadoui
The purpose of this paper is to define the representation and the cohomology of Hom-Lie superalgebras. Moreover we study Central extensions and provide as application the computati…