Another super-identity equivalent to the Hom-Malcev super-identity

TL;DR

This paper identifies a new super-identity in Hom-superalgebras that is equivalent to the well-known Hom-Malcev super-identity, expanding the understanding of their structural properties.

Contribution

It introduces a novel super-identity in Hom-superalgebras that is equivalent to the Hom-Malcev super-identity, providing new insights into their algebraic structure.

Findings

Established a new super-identity equivalent to Hom-Malcev super-identity

Enhanced understanding of Hom-superalgebra identities

Potential implications for classification of Hom-superalgebras

Abstract

In a Hom-superalgebra, a super-identity equivalent to the Hom-Malcev super-identity is found.