Supercommutator (Hom-)superalgebras of right (Hom-)alternative superalgebras

Autor:	Issa, A. Nourou
Rok vydání:	2020
Předmět:	Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	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-morphism is twisted into a Hom-Bol superalgebra. The supercommutator superalgebra of a right Hom-alternative superalgebra has a natural Hom-Bol structure. In order to prove this last result, the Hom-Jordan-admissibility of right Hom-alternative superalgebras is investigated and next Hom-Jordan supertriple systems are defined and their connection with Hom-Jordan superalgebras and Hom-Lie supertriple systems is considered. Comment: Accepted for publication. This is an extended version of arxiv:1710.02706
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2008.04026 Zobrazit plný text záznamu View this record from Arxiv