Balanced zero-divisor graphs of matrix rings. (Q372790)
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scientific article; zbMATH DE number 6217339
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Balanced zero-divisor graphs of matrix rings. |
scientific article; zbMATH DE number 6217339 |
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Balanced zero-divisor graphs of matrix rings. (English)
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21 October 2013
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In this paper, the directed zero-divisor graph \(\Gamma (M_n(R))\) is studied. In particular it is proved that for a principal ideal commutative ring \(R\) with identity the directed zero-divisor graph \(\Gamma(M_n(R))\) is balanced and Eulerian.
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matrix rings
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finite commutative rings
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zero-divisor graphs
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principal ideal rings
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directed graphs
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Eulerian graphs
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