General Γ- hypermodules: Θ relation, T- functor and fundamental modules

The main purpose of this paper is to introduce the concept of general ?-hypermodules as a generalization of ?-hypermodules, as a generalization of ?-modules and as a generalization of modules. Then we extended the isomorphism theorems to general ?- hypermodules. Also, it is observer that if N is a normal ?-subhypermodule of ?-hypermodule M, then, [M : N ? ] is an abelian group. Finally, we show that there is a covariant functor between the category of general ?-hypermodules and the category of modules.