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
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页码：291 / 299
页数：8
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