Some Results Concerning Directed Graphs Over Commutative Rings

This paper delves into the idea of a directed graph that presented and illustrated, A directed graph for every finite, commutative ring is presented in this paper by utilizing the additive and multiplicative properties. This is achieved based on the mapping (a, b) → (a + b, a • b). The essential objective of this research work is to examine the characteristics of these directed graphs, specifically the valuable information they offer about the ring itself. To this end, we have adopted and presented several theorems and Corollaries with their proofs to support the obtained results