Constructive counterparts of some interior ideals in a co-quasiordered semigroup

Abstract

In this paper, as a further generalization of co-ideals in semigroup with apartness ordered under a co-quasiorder relation, we introduce the notions of interior co-ideals, quasiinterior co-ideals and weak-interior co-ideals. Additionally, we study the properties of these co-ideals of co-quasiordered semigroup with apartness and their interrelationships.