## African Diaspora Journal of Mathematics

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

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

Donatien Gaparayi and A. Nourou Issa

#### 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.

#### Article information

**Source**

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

**Dates**

First available in Project Euclid: 14 September 2016

**Permanent link to this document**

https://projecteuclid.org/euclid.adjm/1473854197

**Mathematical Reviews number (MathSciNet)**

MR3538975

**Subjects**

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

**Keywords**

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

#### Citation

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. https://projecteuclid.org/euclid.adjm/1473854197