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Abstract: Some basic properties of Hom-Leibniz algebras are found. These properties arethe Hom-analogue of corresponding well-known properties of Leibniz algebras.Considering the Hom-Akivis algebra associated to a given Hom-Leibniz algebra,it is observed that the Hom-Akivis identity leads to an additional property ofHom-Leibniz algebras, which in turn gives a necessary and sufficient conditionfor Hom-Lie admissibility of Hom-Leibniz algebras. A necessary and sufficientcondition for Hom-power associativity of Hom-Leibniz algebras is also found.



Autor: A. Nourou Issa

Fuente: https://arxiv.org/







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