Topological Space on the Ring of the Integers Modulo n

In this paper, we introduce a new definition of the surrounded set notation on Zn, and discuss some of the properties of this set. We introduce the notation of discrete surrounded topological space on Zn and study some of the topological properties of this topology. Furthermore, we have provided new definitions of the surrounded limit point, surrounded derived set, surrounded closure set, and surrounded interior set and also given various examples, theories, and results related to them.