RT - Journal Article
T1 - On Hyperideal Structure of Ternary Semihypergroups
JF - IJMSI
YR - 2014
JO - IJMSI
VO - 9
IS - 1
UR - http://ijmsi.ir/article-1-575-en.html
SP - 81
EP - 98
K1 - Semihypergroup
K1 - Ternary semihypergroup
K1 - Hyperideal
K1 - Prime left hyperideal
K1 - Semiprime left hyperideal
K1 - Irreducible left hyperideal
K1 - Hyper lter
K1 - Left m-system
K1 - Left i-system
K1 - Left p-system.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-575-en.html
M3 10.7508/ijmsi.2014.01.008
ER -