THE METRIC DIMENSION OF THE ANNIHILATING-IDEAL GRAPH OF A FINITE COMMUTATIVE RING

被引：21

作者：

Dolzan, David ^{[1
]}

机构：

[1] Univ Ljubljana, Dept Math, Fac Math & Phys, Jadranska 21, SI-1000 Ljubljana, Slovenia

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2021年 / 103卷 / 03期

关键词：

finite ring; metric dimension; annihilating-ideal graph;

D O I：

10.1017/S0004972720001239

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the metric dimension of the annihilating-ideal graph of a local finite commutative principal ring and a finite commutative principal ring with two maximal ideals. We also find bounds for the metric dimension of the annihilating-ideal graph of an arbitrary finite commutative principal ring.

引用

页码：362 / 368

页数：7

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