%0 Journal Article
%T A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Dorbidi, H.
%A Alikhani, S.
%D 2020
%\ 01/01/2020
%V 7
%N 2
%P 143-154
%! A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING
%K Graph
%K diameter
%K Ring
%K Idempotent
%R 10.22044/jas.2019.7405.1365
%X 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 $R$.
%U http://jas.shahroodut.ac.ir/article_1585_0115d6f468b7fb69d3639428ff331638.pdf