Abstract:
In this project, we study on rings whose prime right ideals are two-sided and investigate some properties of such rings. In particular, we obtain that prime right ideals of these rings relate to good ideals. However, some restriction on this ring motivates us to study the ring whose completely prime right ideals are two-sided. We investigate some of their properties about a quotient ring; moreover, about the intersection of all completely prime right ideals which relates to nilpotent elements in this ring.
