African Diaspora Journal of Mathematics

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

Donatien Gaparayi and A. Nourou Issa

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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.

Article information

Afr. Diaspora J. Math. (N.S.) Volume 19, Number 1 (2016), 49-57.

First available in Project Euclid: 14 September 2016

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Mathematical Reviews number (MathSciNet)

Primary: 17D10: Malʹcev (Malʹtsev) rings and algebras 17D99: None of the above, but in this section

Malcev algebra Lie-Yamaguti algebra (i.e. generalized Lie triple system Lie triple algebra) Hom-Lie-Yamaguti algebra Hom-Malcev algebra


Gaparayi, Donatien; Issa, A. Nourou. A Note on Relations Between Hom-Malcev Algebras and Hom-Lie-Yamaguti Algebras. Afr. Diaspora J. Math. (N.S.) 19 (2016), no. 1, 49--57.

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