Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings

Abstract

The purpose of this research is to demonstrate the following assertions: an additive mapping $\mathcal{H}$ is a generalized ($\zeta, \xi$)-derivation associated with a ($\zeta, \xi$)-derivation ${\bf h}$, where $\zeta, \xi$ are endomorphisms on a $(m+n+p-1)!$-torsion free semiprime ring $\mathcal{A}$. Here we prove another result in the setting of the generalized left ($\zeta, \xi$)-derivation on $\mathcal{A}$.