Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Issa A. Nourou"'
Publikováno v:
Discussiones Mathematicae - General Algebra and Applications, Vol 41, Iss 2, Pp 249-264 (2021)
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 corresponding well-known properties of Hom-Leibniz algebras. Considering the
Externí odkaz:
https://doaj.org/article/18b14fe9f0f54d37b295692d7ce5cda9
Autor:
Issa, A. Nourou
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)-cohomology group. Deformations of Bol algebras are investigated. In
Externí odkaz:
http://arxiv.org/abs/2210.11397
Autor:
Issa, A. Nourou
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 under even self-morphisms. Any Bol superalgebra along with any even self-
Externí odkaz:
http://arxiv.org/abs/2008.04026
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 corresponding well-known properties of Hom-Leibniz algebras. Considering the
Externí odkaz:
http://arxiv.org/abs/1805.04998
Autor:
Issa, A. Nourou
The supercommutator algebra of a right alternative superalgebra is a Bol superalgebra. Hom-Bol superalgebras are defined and it is shown that they are closed under even self-morphisms. Any Bol superalgebra along with any even self-morphism is twisted
Externí odkaz:
http://arxiv.org/abs/1710.02706
In a Hom-superalgebra, a super-identity equivalent to the Hom-Malcev super-identity is found.
Externí odkaz:
http://arxiv.org/abs/1708.03349
Autor:
Gaparayi, Donatien, Issa, A. Nourou
A Hom-Lie-Yamaguti algebra, whose ternary operation expresses through its binary one in a specific way, is a multiplicative Hom-Malcev algebra. Any multiplicative Hom-Malcev algebra over a field of characteristic zero has a natural Hom-Lie-Yamaguti s
Externí odkaz:
http://arxiv.org/abs/1507.01691
Autor:
Attan, Sylvain, Issa, A. Nourou
Every multiplicative Hom-Malcev algebra has a natural multiplicative Hom-Lie triple system structure. Moreover, there is a natural Hom-Bol algebra structure on every multiplicative Hom-Malcev algebra and on every multiplicative right (or left) Hom-al
Externí odkaz:
http://arxiv.org/abs/1403.4120
Autor:
Attan, Sylvain, Issa, A. Nourou
Hom-Bol algebras are defined as a twisted generalization of (left) Bol algebras. Hom-Bol algebras generalize multiplicative Hom-Lie triple systems in the same way as Bol algebras generalize Lie triple systems. The notion of an $n$th derived (binary)
Externí odkaz:
http://arxiv.org/abs/1211.6981
Autor:
Gaparayi, Donatien, Issa, A. Nourou
Multiplicative left Hom-Leibniz algebras have natural Hom-Lie-Yamaguti structure.
Comment: 10 pages, no figure
Comment: 10 pages, no figure
Externí odkaz:
http://arxiv.org/abs/1208.6038