%0 Journal Article
%A Hila, Kostaq
%A Davvaz, Bijan
%A Naka, Krisanthi
%T On Hyperideal Structure of Ternary Semihypergroups
%J Iranian Journal of Mathematical Sciences and Informatics
%V 9
%N 1
%U http://ijmsi.ir/article-1-575-en.html
%R 10.7508/ijmsi.2014.01.008
%D 2014
%K Semihypergroup, Ternary semihypergroup, Hyperideal, Prime left hyperideal, Semiprime left hyperideal, Irreducible left hyperideal, Hyper lter, Left m-system, Left i-system, Left p-system.,
%X 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.
%> http://ijmsi.ir/article-1-575-en.pdf
%P 81-98
%& 81
%!
%9 Research paper
%L A-10-746-2
%+
%G eng
%@ 1735-4463
%[ 2014