Some results on the maximal graph of commutative rings

被引：1
|
作者：
Soleimani, M. [1 ]
Mahmudi, F. [1 ]
Naderi, M. H. [1 ]
机构：
[1] Univ Qom, Fac Sci, Dept Math, Qom 8731751167, Iran
来源：
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2023年 / 16卷
关键词：
commutative rings; energy of a graph; maximal graph; nonseparable graph;
D O I：
10.32513/asetmj/1932200823104
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (Gamma(R))(c) be the maximal graph of a commutative ring with identity R whose vertices are elements of R. Two distinct vertices a and b are adjacent if and only if Ra + Rb not equal R or there exists a maximal ideal of R containing both them. In this paper, we study some properties of two (induced) subgraphs (Gamma 2(R))(c) and (G(R))(c) of (Gamma(R))(c).
引用
收藏
页码：21 / 26
页数：6
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