The Representation Of Internal Categories Of Internal Ring Objects,Internal Abelian Group Objects And Internal Left R-model Objects In The Category Of ?-sets

In this paper,we introduce concepts of the category of internal ring objects,the category of internal Abelian group objects and the category of internal left R-model objects in a category with finite product,representation of the three internal categories in the category of sets is studied respectively,further more,the representation of the three internal categories in the category of ?-sets is investigated,and the isomorphic relation between the category of internal left R-module objects in the category of ?-sets and the category of?-left R-modules is given.