• ON THE ANNIHILATOR GRAPH OF A COMMUTATIVE Γ- NEAR – RING

Abstract

Let M be a Commutative  near – ring with non zero identity. Let Z(M) be the set of all zero – divisors of M. For , let . We define the annihilator graph of M ,denoted by AG(M) ,as the  undirected graph whose set of vertices is Z  and two distinct vertices x and y are adjacent if and only if  .In this paper we study the ring theoretic properties of M and graph theoretic properties of .