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

نویسندگان

چکیده

It shown that the supercommutator superalgebra of a right alternative is Bol superalgebra. Hom-Bol superalgebras are defined and it they closed under even self-morphisms. Any along with any self-morphism twisted into The Hom-alternative has natural structure. In order to prove this last result, Hom-Jordan-admissibility investigated next Hom-Jordan supertriple systems their connection Hom-Lie considered.

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ژورنال

عنوان ژورنال: Colloquium Mathematicum

سال: 2021

ISSN: ['0010-1354', '1730-6302']

DOI: https://doi.org/10.4064/cm7984-12-2019