Rough Approximations via Maximal and Prime Ideals in Ring with Involution

Abstract

In this paper, we introduced the concept of the roughness of  -maximal ideals with respect to the congruence relation induced by  -maximal ideal of a  - ring approximation space. Also, we discussed rough  -prime (-completely prime) ideals and presented several properties of  -maximal and  -prime (-completely prime) ideals of a  - ring approximation space.