Distributive Rings and Some Domains

Abstract

: In this paper, we study many relationships about Distributive ring and other domain such as Dedekind domain and Noetherian domain. We prove if any divisible module over a ring T, then T is Distributive ring. Also we satisfy if T is invariant ring have multiplication ideal this imply T is a Distributive ring. Finally, we study strongly duo ring and related to Distributive ring.