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This article is cited in 3 scientific papers (total in 3 papers)
Compressed zero-divisor graphs of finite associative rings
E. V. Zhuravlev, A. S. Monastyreva Altai State University, Barnaul
Abstract:
We study the compressed zero-divisor graph of a finite associative ring $R$. In particular, we describe commutative finite rings with compressed zero-divisor graphs of order $2$. Moreover, we find all graphs of order $3$ that are the compressed zero-divisor graphs of some finite rings.
Keywords:
finite ring, compressed zero-divisor graph.
Received: 21.02.2019 Revised: 21.02.2019 Accepted: 24.07.2019
Citation:
E. V. Zhuravlev, A. S. Monastyreva, “Compressed zero-divisor graphs of finite associative rings”, Sibirsk. Mat. Zh., 61:1 (2020), 96–106; Siberian Math. J., 61:1 (2020), 76–84
Linking options:
https://www.mathnet.ru/eng/smj5966 https://www.mathnet.ru/eng/smj/v61/i1/p96
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Abstract page: | 168 | Full-text PDF : | 77 | References: | 27 | First page: | 2 |
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