A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING
نویسندگان
1 Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box 78671-61167, Jiroft, Iran.
2 Department of Mathematics, Yazd University, 89195-741, Yazd, Iran.
doi
10.22044/jas.2019.7405.1365چکیده
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 $IJ=I\cap J$. We obtain some properties of this graph and study its relation to the structure of $R$.
