Some Weak Form of Topological Simple Ring

Abstract

In this paper, we manifest distinct feature of some weak form of topological simple ring which is structurally generalization of topological simple ring. A topological simple ring S has both algebraic and topological structure. Further we provide a view of some basic results and theorem related to semi and regular topological simple ring. Semi-topological simple ring is defined by using semi-open set and semi-continuity introduced by N. Levine[6]. Regular topological simple ring is defined by using almost continuous function introduced by Singal  and Singal [8].