Some properties of compressed zero-divisor graph

We prove that if the compressed zero-divisor graph of a finite associative ring contains only one strong vertex then this vertex has a loop. Moreover, more properties of the compressed zero-divisor graph of a finite associative ring are proved.

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Publication Details

Journal
Mathematics and Theoretical Computer Science
Published
2025-05-02
DOI
https://doi.org/10.26907/2949-3919.2025.1.52-63
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00

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article

Some properties of compressed zero-divisor graph

A. S. Monastyreva
Mathematics and Theoretical Computer Science
Rings, Modules, and Algebras
article

Some properties of compressed zero-divisor graph

A. S. Monastyreva
article en

Abstract

We prove that if the compressed zero-divisor graph of a finite associative ring contains only one strong vertex then this vertex has a loop. Moreover, more properties of the compressed zero-divisor graph of a finite associative ring are proved.

Mathematics and Theoretical Computer ScienceVol. 3(1)
Altai State University (RU)
Russian Science Foundation
Openalex Percentile: Top 86%
Rings, Modules, and Algebras
DOIOpen Access PDFOpenAlex
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Some properties of compressed zero-divisor graph — A. S. Monastyreva · Mathematics and Theoretical Computer Science (2025) | TGRS Research Map | TGRS