@article {
author = {Dorbidi, H. and Alikhani, S.},
title = {A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING},
journal = {Journal of Algebraic Systems},
volume = {7},
number = {2},
pages = {143-154},
year = {2020},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2019.7405.1365},
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 $IJ=I\cap J$. We obtain some properties of this graph and study its relation to the structure of $R$.},
keywords = {Graph,diameter,Ring,Idempotent},
url = {http://jas.shahroodut.ac.ir/article_1585.html},
eprint = {http://jas.shahroodut.ac.ir/article_1585_0115d6f468b7fb69d3639428ff331638.pdf}
}