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 (8)

• Deformations of Lie Algebras using $\sigma$-derivations
• Representations of hom-Lie algebras
• Hom-algebras and homology
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Cited by in corpus (1)

• Supercommutator algebras of right (Hom-)alternative superalgebras