The number of non-sources in the directed graphs of rings of integers modulo a prime power

• Main Authors: Chin, Angelina Yan Mui, Tan, Ta Sheng, Ruzali, W. M. A. Wan
• Format: Article
• Published: Charles Babbage Research Centre 2021
• Subjects: QA Mathematics
• Online Access: http://eprints.um.edu.my/27218/

For a prime p and positive integer n, let Zp(n) and Psi(Z(p)(n)) denote the ring of integers modulo p(n) and the directed graph associated with the ring Zp(n), respectively. In this paper, we obtain an explicit formula for determining the number of non-sources in the directed graph Psi(Zp(n)). This...