Generalized derivations and Rota-Baxter operators of n-ary Hom-Nambu superalgebras
The aim of this paper is to generalise the construction of n-ary Hom-Lie bracket by means of
an (n-2)(n-2)-cochain of given Hom-Lie algebra to super case inducing n-Hom-Lie …
an (n-2)(n-2)-cochain of given Hom-Lie algebra to super case inducing n-Hom-Lie …
Structure and cohomology of 3-Lie-Rinehart superalgebras
A Ben Hassine, T Chtioui, S Mabrouk… - Communications in …, 2021 - Taylor & Francis
We introduce a concept of 3-Lie-Rinehart superalgebra and systematically describe a
cohomology complex by considering coefficient modules. Furthermore, we study the …
cohomology complex by considering coefficient modules. Furthermore, we study the …
Cohomology and deformations of twisted O-operators on 3-Lie algebras
The purpose of this paper is to introduce and study twisted O-operators on 3-Lie algebras.
We construct an L∞-algebra whose Maurer-Cartan elements are twisted O-operators and …
We construct an L∞-algebra whose Maurer-Cartan elements are twisted O-operators and …
Some Constructions of Multiplicative n-ary hom–Nambu Algebras
We show that given a hom–Lie algebra one can construct the n-ary hom–Lie bracket by
means of an (n-2)(n-2)-cochain of the given hom–Lie algebra and find the conditions under …
means of an (n-2)(n-2)-cochain of the given hom–Lie algebra and find the conditions under …
Twisted O-operators on 3-Lie algebras and 3-NS-Lie algebras
The purpose of this paper is to introduce twisted $\mathcal {O} $-operators on $3 $-Lie
algebras. We define a cohomology of a twisted $\mathcal {O} $-operator $ T $ as the …
algebras. We define a cohomology of a twisted $\mathcal {O} $-operator $ T $ as the …
On properties and classification of a class of 4-dimensional 3-Hom-Lie algebras with a nilpotent twisting map
A Kitouni, S Silvestrov - Axioms, 2024 - mdpi.com
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 structure …
of 4-dimensional 3-Hom-Lie algebras with a nilpotent twisting map α and eight structure …
On Classification of (n+ 1)-dimensional n-Hom-Lie algebras with nilpotent twisting maps
A Kitouni, S Silvestrov - … on Stochastic Processes and Algebraic Structures, 2019 - Springer
The aim of this work is to study properties of n-Hom-Lie algebras in dimension n+ 1 allowing
to explicitly find them and differentiate them, to eventually classify them. Some specific …
to explicitly find them and differentiate them, to eventually classify them. Some specific …
Ternary Hom-Jordan algebras induced by Hom-Jordan algebras
A Arfa, A Ben Hassine, S Mabrouk - Linear and Multilinear Algebra, 2022 - Taylor & Francis
The purpose of this paper is to study the relationships between a Hom-Jordan algebras and
its induced ternary Hom-Jordan algebras. We give some properties of the α k-generalized …
its induced ternary Hom-Jordan algebras. We give some properties of the α k-generalized …
On Ideals and Derived and Central Descending Series of n-ary Hom-Algebras
A Kitouni, S Mboya, E Ongong'a… - … Conference on Non …, 2020 - Springer
The aim of this work is to explore some properties of n-ary skew-symmetric Hom-algebras
and n-Hom-Lie algebras related to their ideals, derived series and central descending …
and n-Hom-Lie algebras related to their ideals, derived series and central descending …
On Classification of (n)-Dimensional n-Hom-Lie Algebras for n and Nilpotent Twisting Map with 2-Dimensional Kernel
A Kitouni, S Silvestrov - … on Stochastic Processes and Algebraic Structures, 2019 - Springer
The aim of this work is to study properties of n-Hom-Lie algebras in dimension n+ 1 allowing
to explicitely find them and differentiate them, to eventually classify them. Specifically, the n …
to explicitely find them and differentiate them, to eventually classify them. Specifically, the n …