TY - JOUR
T1 - On Hyperideal Structure of Ternary Semihypergroups
TT -
JF - IJMSI
JO - IJMSI
VL - 9
IS - 1
UR - http://ijmsi.ir/article-1-575-en.html
Y1 - 2014
SP - 81
EP - 98
KW - Semihypergroup
KW - Ternary semihypergroup
KW - Hyperideal
KW - Prime left hyperideal
KW - Semiprime left hyperideal
KW - Irreducible left hyperideal
KW - Hyper lter
KW - Left m-system
KW - Left i-system
KW - Left p-system.
N2 - In this paper, we introduce and study the concepts of prime left, semiprime left and irreducible left hyperideals in ternary semihyper- groups and investigate some basic properties of them. We introduce the concepts of hyper lter and hypersemilattice congruence of ternary semi- hypergroups. We give some characterizations of hyper lters in ternary semihypergroups. Some relationships between hyper lters, prime hyper- ideals and hypersemilattice congruences in ternary semihypergroups are considered. We also introduce the notion of hyperideals extensions in ternary semihypergroups and some properties of them are investigated.
M3 10.7508/ijmsi.2014.01.008
ER -