%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