  In this paper we introduce modules over both left and right Hom-alternative
algebras. We give some constructions of left and right Hom-alternative modules
and give various properties of both, as well as examples. Then, we prove that
morphisms of left alternative algebras extend to morphisms of left
Hom-alternative algebras. Next, we introduce comodules over Hom-Poisson
coalgebras and show that we may obtain a structure map of a comodule over a
Hom-Poisson coalgebra from a given one.
