Title of article
On Hyperideal Structure of Ternary Semihypergroups
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.
Issue Information
دوفصلنامه با شماره پیاپی سال 2014
Pages
18
From page
81
To page
98
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.
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Serial Year
2014
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Record number
1314536
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