On Hyperideal Structure of Ternary Semihypergroups
Kostaq Hila, Bijan Davvaz, Krisanthi Naka · 2014
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 hyperfilter and hypersemilattice congruence of ternary semi- hypergroups. We give some characterizations of hyperfilters in ternary semihypergroups. Some relationships between hyperfilters, 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.