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arXiv · 2009.07821

BiHom-Akivis algebras

Sylvain Attan
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Abstract

BiHom-Akivis algebras are introduced. The BiHom-commutator-BiHom-associator algebra of a regular BiHom-algebra is a BiHom-Akivis algebra. It is shown that BiHom-Akivis algebras can be obtained from Akivis algebras by twisting along two algebra endomorphisms. It is pointed out that a BiHom-Akivis algebra associated to a regular BiHom-alternative algebra is a BiHom-Malcev algebra.

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Sylvain Attan. 2020-09-16. BiHom-Akivis algebras. https://arxiv.org/abs/2009.07821

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