Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case

被引：0

作者：

Vadhel, P. ^{[1
]}

Visweswaran, S. ^{[1
]}

机构：

[1] Saurashtra Univ, Dept Math, Rajkot 360005, Gujarat, India

来源：

ALGEBRA AND DISCRETE MATHEMATICS | 2019年 / 27卷 / 01期

关键词：

quasilocal ring; local Artinian ring; special principal ideal ring; planar graph;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The rings we consider in this article are commutative with identity 1 not equal 0 and are not fi elds. Let R be a ring. We denote the collection of all proper ideals of R by II(R) and the collection I(R) \ {(0)} by II(R)*. Let H(R) be the graph associated with R whose vertex set is II(R)* and distinct vertices I, J are adjacent if and only if IJ not equal (0). The aim of this article is to discuss the planarity of H(R) in the case when R is quasilocal.

引用

页码：117 / 143

页数：27

共 29 条

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