Kupershmidt operators on Hom-Malcev algebras and their deformation

The main feature of Hom-algebras is that the identities defining structures are twisted by linear maps. purpose this paper to introduce and study a Hom-type generalization pre-Malcev algebras, called Hom-pre-Malcev algebras. We also notion Kupershmidt operators Hom-Malcev algebras show connections between using operators. generalize Hom-pre-Lie Hom-alternative setting fit into bigger framework with close relationship Hom-pre-alternative Finally, we establish deformation theory on algebra in consistence general principles theories Nijenhuis elements.