CUBIC (1, 2)-IDEALS ON SEMIGROUPS

CUBIC (1, 2)-IDEALS ON SEMIGROUPS

T. Gaketem

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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  nd condition cu- bic 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.

Keywords

Cubic set, Cubic ideal, Cubic (1; 2)-ideal, Cubic bi-ideal.