On the comaximal ideal graph of a commutative ring

被引：8

作者：

Azadi, Mehrdad ^{[1
]}

Jafari, Zeinab ^{[1
]}

Eslahchi, Changiz ^{[2
]}

机构：

[1] Islamic Azad Univ, Cent Tehran Branch, Dept Math, Tehran, Iran

[2] Shahid Beheshti Univ, Dept Comp Sci, Tehran, Iran

来源：

TURKISH JOURNAL OF MATHEMATICS | 2016年 / 40卷 / 04期

关键词：

Chromatic number; clique number; planar graph; perfect graph;

D O I：

10.3906/mat-1505-23

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a commutative ring with identity. We use Gamma(R) to denote the comaximal ideal graph. The vertices of Gamma(R) are proper ideals of R that are not contained in the Jacobson radical of R, and two vertices I and J are adjacent if and only if I + J = R. In this paper we show some properties of this graph together with the planarity and perfection of Gamma(R).

引用

页码：905 / 913

页数：9

共 6 条

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