Cubic (1, 2)-ideals on semigroups

Abstract

In this paper we introduce the concept of cubic (1, 2)-ideals on semigroups and we study basic properties of cubic (1, 2)-ideals. In particular, we find condition cubic bi-ideal is cubic (1, 2)-ideal coincide. Finally we can show that the images or inverse images of a cubic (1, 2)-ideal of a semigroup become a cubic (1, 2)-ideal.