101 citations · 199 across the 13 of their papers we have counts for
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Constructions and Cohomology of color Hom-Lie algebras
K. Abdaoui, F. Ammar, A. Makhlouf
The main purpose of this paper is to define representations and a cohomology of color Hom-Lie algebras and to study some key constructions and properties. We describe Hartwig-Larss…
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…
Hom-Alternative, Hom-Malcev and Hom-Jordan superalgebras
K. Abdaoui, F. Ammar, A. Makhlouf
Hom-alternative, Hom-Malcev and Hom-Jordan superalgebras are -graded generalizations of Hom-alternative, Hom-Malcev and Hom-Jordan algebras, which are Hom-type gene…
Cohomology and Versal Deformations of Hom-Leibniz algebras
Faouzi Ammar, Zeyneb Ejbehi, Abdenacer Makhlouf
The purpose of this paper is to study global deformations of Hom-Leibniz algebras. We introduce a cohomology for Hom-Leibniz algebras with values in a Hom-module, characterize vers…
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…