A non-abelian exterior product of Hom-Leibniz algebras

Abstract

In this paper, we introduce a non-abelian exterior product of Hom-Leibniz algebras and investigate its relative to the Hopf's formula. We also construct an eight-term exact sequence in the homology of Hom-Leibniz algebras. Finally, we relate the notion of capability of a Hom-Leibniz algebra to its exterior product.

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