12 citations · 29 across the 14 of their papers we have counts for
16 papers
Remarks on quadratic left Bol algebras
A. Nourou Issa
In this paper the notion of a quadratic (left) Bol algebra is discussed. Several examples of quadratic Bol algebras are given and it is observed that the only two-dimensional quadr…
A note on representations of Lie-Yamaguti algebras induced by left Leibniz algebras
A. Nourou Issa
It is well-known that each left Leibniz algebra has a natural structure of a Lie-Yamaguti algebra. In this paper it is shown that every left representation of a left Leibniz algebr…
Representations and (2,3)-cohomology of Bol algebras with applications
A. Nourou Issa
A representation theory for Bol algebras is proposed. For a suitable (2,3)-cohomology theory for Bol algebras, we define a (2,3)-coboundary with companion and next we define a (2,3…
Supercommutator (Hom-)superalgebras of right (Hom-)alternative superalgebras
A. Nourou Issa
It shown that the supercommutator superalgebra of a right alternative superalgebra is a Bol superalgebra. Hom-Bol superalgebras are defined and it is shown that they are closed und…
On Hom-Leibniz and Hom-Lie-Yamaguti Superalgebras
Donatien Gaparayi, Sylvain Attan, A. Nourou Issa
In this paper some characterizations of Hom-Leibniz superalgebras are given and some of their basic properties are found. These properties can be seen as a generalization of corres…
Hom-Lie-Yamaguti Superalgebras
D. Gaparayi, S. Attan
(Multiplicative) Hom-Lie-Yamaguti superalgebras which generalize Hom-Lie supertriple systems (and subsequently ternary multiplicative Hom-Nambu superalgebras) and Hom-Lie superalge…