direct limit of krasner (m, n)-hyperrings

The purpose of this paper is the study of direct limits in category of krasner (m, n)-hyperrings. in this regards we introduce and study direct limit of a direct system in category (m, n)-hyperrings. also, we consider fundamental relation , as the smallest equivalence relation on an (m, n)-hyperring r such that the quotient space is an (m, n)-ring, to introduce the fundamental functor from category of krasner (m, n)-hyperrings to the  category of (m, n)-rings. finally, we study the relationship between fundamental functor and direct limit on krasner (m, n)-hyperrings. in particular, we prove that the fundamental functor is exact and obtain some its basic properties.