On interior bases of a semigroup

Abstract

The main purpose of this paper is to introduce the concept of interior bases of a semigroup. In addition, we give a characterization when a non-empty subset of a semigroup is an interior base of a semigroup and give necessary and sufficient conditions of an interior base of a semigroup to be a subsemigroup.

Keywords

• semigroup
• interior ideal
• interior base
• quasi-order