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.
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Russian Text © The Author(s), 2020, published in Sibirskii Matematicheskii Zhurnal, 2020, Vol. 61, No. 1, pp. 96–106.
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Zhuravlev, E.V., Monastyreva, A.S. Compressed Zero-Divisor Graphs of Finite Associative Rings. Sib Math J 61, 76–84 (2020). https://doi.org/10.1134/S0037446620010061
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DOI: https://doi.org/10.1134/S0037446620010061