Non-comaximal graph of ideals of a ring

被引：2

作者：

Barman, Bikash ^{[1
]}

Rajkhowa, Kukil Kalpa ^{[1
]}

机构：

[1] Cotton Univ, Dept Math, Gauhati 781001, India

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2019年 / 129卷 / 05期

关键词：

Non-comaximal graph; maximal ideal; independence set;

D O I：

10.1007/s12044-019-0504-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a ring. The non-comaximal graph of R, denoted by NC(R) is an undirected graph whose vertex set is the collection of all non-trivial (left) ideals of R and any two distinct vertices I and J are adjacent if and only if I + J not equal R. The concepts of connectedness, independent set, clique and traversability of NC(R) are discussed.

引用

页数：8

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