Properties of Hybrid Regular Duo Rings

Abstract

In this study, we present the idea of a hybrid quasi ideal and a hybrid bi-ideal in a ring F, and we examine their characteristics. We prove that the hybrid intersection of hybrid left ideal and right ideal is a hybrid quasi ideal. We also obtain that any hybrid quasi ideal in F is a hybrid bi-ideal in F. We found an equivalent assertions for a regular hybrid duo rings using hybrid quasi ideal and hybrid bi-ideal. Moreover, we prove that a hybrid intersection and a hybrid product of two hybrid quasi ideals are same under certain conditions.