Scholarlink

<p>A pair of zero-divisors are exact if one generates the annihilator of the other. For some rings the well-studied zero-divisor graph is sufficient for identifying all exact pairs, which is displayed in the exact zero-divisor subgraph. We initiate the study of constructing zero-divisor graphs with only the graphical structure of exact zero-divisor subgraphs and provide results for 1-component and 2-component cases.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Exact Decompositions and Zero-Divisor Graphs

  • 期刊论文

  • 发表日期：

    2025年6月18日

查看全文
  • Justin Hoffmeier

摘要

A pair of zero-divisors are exact if one generates the annihilator of the other. For some rings the well-studied zero-divisor graph is sufficient for identifying all exact pairs, which is displayed in the exact zero-divisor subgraph. We initiate the study of constructing zero-divisor graphs with only the graphical structure of exact zero-divisor subgraphs and provide results for 1-component and 2-component cases.