Title of article :
Prime double-framed soft bi-ideals of ordered semigroup
Author/Authors :
Asif ، T. Department of Mathematics and Statistics - University of Haripur , Khalaf ، Mohammed. M. Faculty of Engineering Aswan Branch - Arab Academy for Science and Technology and Maritime Transport (AASTMT) , Khan ، A. Department of Mathematics - Abdul Wali Khan University
Abstract :
The notions of a prime (strongly prime, semiprime, irreducible, and strongly irreducible) double-framed soft bi-ideals (briefly, prime, (strongly prime, semiprime, irreducible and strongly irreducible) DFS bi-ideals) in ordered semigroups are introduced and related properties are investigated. Several examples of these notions are provided. The relationship between prime and strongly prime, irreducible and strongly irreducible DFS bi-ideals are considered and haracterizations of these concepts are established. The Characterizations of regular and intraregular ordered semigroups in terms of these notions are studied.
Keywords :
Int , uni DFS set , DFS semigroups , DFS bi , ideals , strongly prime , irreducible
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
