TY - JOUR
JF - IJMSI
JO - IJMSI
VL - 12
IS - 2
PY - 2017
Y1 - 2017/9/01
TI - Ordered Krasner Hyperrings
TT -
N2 - In this paper we introduce the concept of Krasner hyperring $(R,+,cdot)$together with a suitable partial order relation $le $.xle y$. Also we consider some Krasner hyperrings and define a binary relation on them such that to become ordered Krasner hyperrings. By using the notion of pseudoorder on an ordered Krasner hyperring $(R,+,cdot,le)$, we obtain an ordered ring. Moreover, we study some properties of ordered Krasner hyperrings.
SP - 35
EP - 49
AU - Omidi, S.
AU - Davvaz, B.
AD - Yazd University
KW - Algebraic hyperstructure
KW - Ordered ring
KW - Ordered Krasner hyperring
KW - Strongly regular relation
KW - Pseudoorder.
UR - http://ijmsi.ir/article-1-685-en.html
DO - 10.7508/ijmsi.2017.2.003
ER -