Title of article :
Characterization of ordered semihypergroups in terms of uni-soft bi-hyperideals
Author/Authors :
Farooq, M Department of Mathematics - Abdul Wali Khan University Mardan, 23200, Khyber Pakhtunkhwa Pakistan , Khan, A Department of Mathematics - Abdul Wali Khan University Mardan, 23200, Khyber Pakhtunkhwa Pakistan , Khan, R Department of Mathematics - FATA University, Kohat, KP, Pakistan , Izhar, M Department of Mathematics - Govt. College Garhi Kapoora Mardan, 23200, Khyber Pakhtunkhwa Pakistan
Abstract :
In this paper, we introduce the concept of unionsoft
(briefly, uni-soft) bi-hyperideal of an ordered semihypergroup.
The notions of prime (strongly prime,
semiprime, irreducible, and strongly irreducible) uni-soft
bi-hyperideals in ordered semihypergroups are introduced
and related properties are investigated. Numerous examples
of these notions are given. The relationship between
prime and strongly prime, irreducible and strongly irreducible
uni-soft bi-hyperideals are considered and characterizations
of these concepts are established. Regular and
intra-regular ordered semihypergroups are characterized
in terms of these notions.
Keywords :
regular and intra-regular ordered semihypergroup , irreducible (strongly irreducible) uni-soft bi-hyperideal, , semiprime uni-soft bi-hyperideal , unisoft bi-hyperideal , prime (strongly prime) , Uni-soft semi-hypergroup
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
