Author/Authors :
Hila، K. نويسنده aDepartment of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, Albani Hila, K. , Davvaz، B. نويسنده Department of Mathematics, Yazd University, Yazd, Iran Davvaz, B. , Naka، K. نويسنده Department of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, Albani Naka, K.
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 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.
