H. Dorbidi - Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box ۷۸۶۷۱-۶۱۱۶۷, Jiroft, Iran.
S. Alikhani - Department of Mathematics, Yazd University, ۸۹۱۹۵-۷۴۱, Yazd, Iran.

In this paper we introduce and study a graph on the set of ideals of a commutative ring $R$. The vertices of this graph are non-trivial ideals of $R$ and two distinct ideals $I$ and $J$ are adjacent if and only $IJ=Icap J$. We obtain some properties of this graph and study its relation to the structure of $R$.

Graph, diameter, Ring, Idempotent