Compressed and Partially Compressed Zero-Divisor Graphs of Finite Associative Rings

被引：0

作者：

A. A. Afanas’ev

A. S. Monastyreva

机构：

[1] Novosibirsk State University,

[2] Altai State University,undefined

来源：

Siberian Mathematical Journal | 2023年 / 64卷

关键词：

finite ring; zero-divisor; nilpotent ring; compressed zero-divisor graph; partially compressed zero-divisor graph; 512.55;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study some properties of the compressed zero-divisor graph of a finite ring and the partially compressed zero-divisor graph of a finite nilpotent ring. In particular, we describe all nilpotent finite rings whose compressed zero-divisor graphs are some complete graphs with loops. Furthermore, we introduce the notion of partially compressed zero-divisor graph for the nilpotent rings and study the properties of the group. Also, we describe the finite rings whose compressed zero-divisor graph contains a bridge.

引用

页码：291 / 299

页数：8