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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2020
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my.utm.296832022-02-28T13:26:06Z http://eprints.utm.my/id/eprint/29683/ Probabilistic characterizations of some finite ring of matrices and its zero divisor graph Zaid, Nurhidayah Sarmin, Nor Haniza Khasraw, Sanhan Muhammad Salih QA Mathematics 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. SEAMS 2020 Article PeerReviewed Zaid, Nurhidayah and Sarmin, Nor Haniza and Khasraw, Sanhan Muhammad Salih (2020) Probabilistic characterizations of some finite ring of matrices and its zero divisor graph. Southeast Asian Bulletin of Mathematics, 44 . pp. 859-866. ISSN 0129-2021 |
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Universiti Teknologi Malaysia |
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UTM Library |
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Institutional Repository |
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Asia |
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Malaysia |
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Universiti Teknologi Malaysia |
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UTM Institutional Repository |
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http://eprints.utm.my/ |
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QA Mathematics |
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QA Mathematics Zaid, Nurhidayah Sarmin, Nor Haniza Khasraw, Sanhan Muhammad Salih Probabilistic characterizations of some finite ring of matrices and its zero divisor graph |
| description |
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. |
| format |
Article |
| author |
Zaid, Nurhidayah Sarmin, Nor Haniza Khasraw, Sanhan Muhammad Salih |
| author_facet |
Zaid, Nurhidayah Sarmin, Nor Haniza Khasraw, Sanhan Muhammad Salih |
| author_sort |
Zaid, Nurhidayah |
| title |
Probabilistic characterizations of some finite ring of matrices and its zero divisor graph |
| title_short |
Probabilistic characterizations of some finite ring of matrices and its zero divisor graph |
| title_full |
Probabilistic characterizations of some finite ring of matrices and its zero divisor graph |
| title_fullStr |
Probabilistic characterizations of some finite ring of matrices and its zero divisor graph |
| title_full_unstemmed |
Probabilistic characterizations of some finite ring of matrices and its zero divisor graph |
| title_sort |
probabilistic characterizations of some finite ring of matrices and its zero divisor graph |
| publisher |
SEAMS |
| publishDate |
2020 |
| url |
http://eprints.utm.my/id/eprint/29683/ |
| _version_ |
1726791442539479040 |
| score |
13.250246 |