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A Note on Relations Between Hom-Malcev Algebras and Hom-Lie-Yamaguti Algebras

Volume 19, Number 1 (2016), 49 - 57

A Note on Relations Between Hom-Malcev Algebras and Hom-Lie-Yamaguti Algebras

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Abstract

A Hom-Lie-Yamaguti algebra, whose ternary operation expresses through its binary one in a specific way, is a multiplicative Hom-Malcev algebra. Any multiplicative Hom-Malcev algebra over a field of characteristic zero has a natural Hom-Lie-Yamaguti structure.