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