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arXiv · 1710.02706

Supercommutator algebras of right (Hom-)alternative superalgebras

A. Nourou Issa
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Abstract

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 into a Hom-Bol superalgebra. The supercommutator algebra of a right Hom-alternative superalgebra has a natural Hom-Bol superalgebra structure.

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A. Nourou Issa. 2017-10-07. Supercommutator algebras of right (Hom-)alternative superalgebras. https://arxiv.org/abs/1710.02706

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