@ARTICLE{Davvaz, author = {Hila, Kostaq and Davvaz, Bijan and Naka, Krisanthi and }, title = {On Hyperideal Structure of Ternary Semihypergroups}, volume = {9}, number = {1}, abstract ={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. }, URL = {http://ijmsi.ir/article-1-575-en.html}, eprint = {http://ijmsi.ir/article-1-575-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, doi = {10.7508/ijmsi.2014.01.008}, year = {2014} }