Hom-Lie triple system and Hom-Bol algebra structures on Hom-Malcev and right Hom-alternative algebras

Abstract

Every multiplicative Hom-Malcev algebra has a natural multiplicative Hom-Lie triple system structure. Moreover, there is a natural Hom-Bol algebra structure on every multiplicative Hom-Malcev algebra and on every multiplicative right (or left) Hom-alternative algebra.

References in corpus (4)

• Hom-algebras and homology
• Paradigm of Nonassociative Hom-algebras and Hom-superalgebras
• A twisted generalization of Lie-Yamaguti algebras
• Right Hom-alternative algebras

Cited by in corpus (1)

• Supercommutator algebras of right (Hom-)alternative superalgebras