A STUDY ON BI-QUASI-INTERIOR HYPERIDEALS IN HYPERSEMIGROUPS

Abstract

The concept of hypersemigroups is a generalization of semigroups with several real-world applications. The notion of hyperideals plays an important role in hypersemigroups. This paper introduces the concept of bi-quasi-interior hyperideals a combination of bi-hyperideals, quasi hyperideals and interior hyperideals in hypersemigroups. We study the properties of bi-quasi-interior ideals in regular hypersemigroups and simple hypersemigropus. We also proved that in regular hypersemigroups, the bi-hyperideals and bi-quasi-interior hyperideals are coincide.