TY - JOUR
ID - 74793
TI - Direct Limit of Krasner (m, n)-Hyperrings
JO - Journal of Sciences, Islamic Republic of Iran
JA - JSCIENCES
LA - en
SN - 1016-1104
AU - Ameri, Reza
AU - Asadi, Ameneh
AD - Department of Mathematics, Faculty of Mathematics, University of Tehran
AD - Department of Mathematics, Payame Noor University, Tehran, Iran
Y1 - 2020
PY - 2020
VL - 31
IS - 1
SP - 75
EP - 83
KW - Krasner -hyperrings
KW - Direct system
KW - Fundamental functor
KW - Direct limit
DO - 10.22059/jsciences.2020.282723.1007418
N2 - 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.
UR - https://jsciences.ut.ac.ir/article_74793.html
L1 - https://jsciences.ut.ac.ir/article_74793_d9f858d0855db9f08c09e4226a4ea181.pdf
ER -