Probabilistic characterizations of some finite ring of matrices and its zero divisor graph
Let R be a finite ring. In this study, the probability that two random elements chosen from a finite ring have product zero is determined for some finite ring of matrices over Zn. Then, the results are used to construct the zero divisor graph which is defined as a graph whose vertices are the nonzer...
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| Main Authors: | , , |
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| Format: | Article |
| Published: |
SEAMS
2020
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/29683/ |
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| Summary: | Let R be a finite ring. In this study, the probability that two random elements chosen from a finite ring have product zero is determined for some finite ring of matrices over Zn. Then, the results are used to construct the zero divisor graph which is defined as a graph whose vertices are the nonzero zero divisors of R and two distinct vertices x and y are adjacent if and only if xy = 0. |
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