Probabilistic characterizations of some finite ring of matrices and its zero divisor graph

• Main Authors: Zaid, Nurhidayah, Sarmin, Nor Haniza, Khasraw, Sanhan Muhammad Salih
• Format: Article
• Published: SEAMS 2020
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/29683/

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...