%0 Journal Article %T Direct Limit of Krasner (m, n)-Hyperrings %J Journal of Sciences, Islamic Republic of Iran %I University of Tehran %Z 1016-1104 %A Ameri, Reza %A Asadi, Ameneh %D 2020 %\ 03/01/2020 %V 31 %N 1 %P 75-83 %! Direct Limit of Krasner (m, n)-Hyperrings %K Krasner -hyperrings %K Direct system %K Fundamental functor %K Direct limit %R 10.22059/jsciences.2020.282723.1007418 %X 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 theĀ  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. %U https://jsciences.ut.ac.ir/article_74793_d9f858d0855db9f08c09e4226a4ea181.pdf