2020/08/10 by A. Nourou Issa, Issa, A. Nourou
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2008.04026
openalex publication_date 2020/08/10 · openalex created_date 2022/07/13 · openalex updated_date 2026/07/28
It shown that the supercommutator superalgebra of a right alternative\nsuperalgebra is a Bol superalgebra. Hom-Bol superalgebras are defined and it is\nshown that they are closed under even self-morphisms. Any Bol superalgebra\nalong with any even self-morphism is twisted into a Hom-Bol superalgebra. The\nsupercommutator superalgebra of a right Hom-alternative superalgebra has a\nnatural Hom-Bol structure. In order to prove this last result, the\nHom-Jordan-admissibility of right Hom-alternative superalgebras is investigated\nand next Hom-Jordan supertriple systems are defined and their connection with\nHom-Jordan superalgebras and Hom-Lie supertriple systems is considered.\n