Proves strong vertex properties in compressed zero-divisor graphs of finite rings, suggesting important structural insights.
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.
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A. S. Monastyreva (2025) studied this question.
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