ON HYBRID INTERIOR IDEALS IN SEMIGROUPS

Abstract

In this paper, we introduce the notion of hybrid interior ideals and hybrid characteristic interior ideals of a semigroup. We obtain some equivalent conditions for a hybrid structure to be a hybrid interior ideal of a semigroup. Also, we show that hybrid interior ideals and hybrid ideals coincide for a regular semigroup and a intra-regular semigroup.

Keywords

• semigroup
• ideals
• regular
• simple
• hybrid structure
• hybrid interior ideal