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Strong zero-divisor graph of p.q.-Baer $$-rings
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Strong zero-divisor graph of p.q.-Baer $$-rings
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Journal Article
Strong zero-divisor graph of p.q.-Baer $$-rings
2025
Overview
In this paper, we study the strong zero-divisor graph of a p.q.-Baer $*$-ring and establish conditions, based on the smallest central projection in the lattice of central projections, under which the graph contains a cut vertex. We prove that the set of cut vertices forms a complete subgraph. Furthermore, we show that the complement of this graph is connected if and only if the $*$-ring contains at least six central projections. The diameter and girth of the complement are determined, and we characterize p.q.-Baer $*$-rings whose strong zero-divisor graph is complemented.
Publisher
RGN Publications
Subject
