University of Jiroft | hamidreza dorbidi

Research

Title	A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING
Type	Article
Keywords	Graph, diameter, ring, idempotent
Researchers	hamidreza dorbidi, Saeid Alikhani

Abstract

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 = I \ J. We obtain some properties of this graph and study its relation to the structure of R.