  In this paper we study universal central extensions and non-abelian tensor
product of hom-Lie-Rinehart algebras. We discuss about universal $\alpha$-
central extensions, and, lifting of automorphisms and $\alpha$-derivations to
central extensions for hom-Lie-Rinehart algebras. This is in turn provide such
lifting of automorphisms and $\alpha^k$-derivations to the central extensions
for hom-Lie algebras.
