Title of article :
CHARACTERIZATIONS OF ORDERED SEMIHYPERGROUPS VIA (M;N)-INT-SOFT BI-HYPERIDEALS
Author/Authors :
Farooq, Muhammad Government Higher Secondary School Mohib Banda - Mardan, Khyber Pakhtunkhwa Pakistan , Khan, Asghar Department of mathematics - Abdul Wali Khan University Mardan - Khyber Pakhtunkhwa Pakistan , Izhar, Muhammad Department of mathematics - Abdul Wali Khan University Mardan - Khyber Pakhtunkhwa Pakistan
Abstract :
The aim of this article is to study ordered semihypergroups in the framework
of (M;N)-int-soft bi-hyperideals. In this paper, we introduce the notion of (M;N)-int-soft
bi-hyperideals of ordered semihypergroups. Some properties of (M;N)-int-soft bi-hyperideals
in ordered semihypergroups are provided. We show that every int-soft bi-hyperideal is an
(M;N)-int-soft bi-hyperideals of S over U but the converse is not true which is shown with
help of an example. We characterize left (M;N) simple and completely regular ordered
semihypergroups by means of (M;N)-int-soft bi-hyperideals.
Keywords :
Int-soft hyperideal , int-soft bi-hyperideal , (M;N)-int-soft bi-hyperideal
Journal title :
Journal of Algebraic Structures and Their Applications
