Volume no :65, Issue no: 1, March (2021)

Journal of Mathematical Sciences: Advances and Applications

HOM-HYPOREDUCTIVE TRIPLE ALGEBRAS

Author's: Sylvain Attan and Donatien Gaparayi
Pages: [25] - [58]
Received Date: March 30, 2021
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122199

Abstract

Hom-hyporeductive triple algebras are defined as a twisted generalization of hyporeductive triple algebras. Hom-hyporeductive triple algebras generalize right Hom-Lie-Yamaguti and right Hom-Bol algebras as the same way as hyporeductive triple algebras generalize right Lie-Yamaguti and right Bol algebras. It is shown that the category of Hom-hyporeductive triple algebras is closed under the process of taking nth derived binary-ternary Hom-algebras and by self-morphisms of binary-ternary algebras. Some examples of Hom-hyporeductive triple algebras are given.

Keywords

hyporeductive triple algebra, Hom-Lie triple system, Hom-Bol algebra, Hom-Lie-Yamaguti algebra, Hom-hyporeductive triple algebra.