A graph which recognizes idempotents of a commutative ring
Combinatorics
2016-02-24 v1
Abstract
In this paper we introduce and study a graph on the set of ideals of a commutative ring . The vertices of this graph are non-trivial ideals of and two distinct ideals and are adjacent if and only . We obtain some properties of this graph and study its relation to the structure of .
Cite
@article{arxiv.1602.07243,
title = {A graph which recognizes idempotents of a commutative ring},
author = {Hamid Reza Dorbidi and Saeid Alikhani},
journal= {arXiv preprint arXiv:1602.07243},
year = {2016}
}
Comments
11 pages, 2 figures