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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## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | commutativity degree, zero divisor graph, noncommutative rings |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 29683 |

Deposited By: | Yanti Mohd Shah |

Deposited On: | 21 Mar 2013 08:47 |

Last Modified: | 28 Feb 2022 13:26 |

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