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Abstract <p>In this paper, we prove some properties of the compressed zero-divisor graph of a finite associative ring. So, if the compressed zero-divisor graph of a finite ring has a single strong vertex then this vertex has a loop. This is the main result of the paper.</p>

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Strong Vertexes in the Compressed Zero-Divisor Graph of a Finite Ring

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • A. S. Monastyreva

摘要

Abstract

In this paper, we prove some properties of the compressed zero-divisor graph of a finite associative ring. So, if the compressed zero-divisor graph of a finite ring has a single strong vertex then this vertex has a loop. This is the main result of the paper.