THE DIAMETER OF THE ZERO-DIVISOR GRAPH OF THE IDEALIZATION OF THE RING R IN R
Let R be a commutative ring with identity. We consider the idealization of R in R, i.e., the ring and explain the relationship between and In this paper, it is proved that R is an integral domain if and only if is a complete graph and also, we show that by starting with either or
commutative ring, zero-divisor, zero-divisor graph, diameter, idealization.