ON SOME PROPERTIES OF CUBIC IDEALS OF SEMIRINGS

Debabrata Mandal

Debabrata Mandal

Keywords: cubic ideal, cubic bi-ideal, cubic quasi-ideal, cartesian product, normal cubic ideal, intersection, regular, semiring

Abstract

In this paper, we have defined cubic ideals, cubic bi-ideals and cubic quasi-ideals of a semiring and obtain some of the basic properties of these ideals using several operation on them. We also obtain some interrelation between these ideals. Among all the results, we also obtain some characterizations of regular semiring.