IJPAM: Volume 42, No. 4 (2008)

FINITE DYNAMICAL SYSTEMS ON $\mathbb{Z}_{p^n}$

René A. Hernández-Toledo
Department of Mathematics
University of Puerto Rico at Cayey
Cayey, Puerto Rico, 00736, USA
e-mail: rhernandez@cayey.upr.edu


Abstract.The dynamics of multiplication by elements of $\Zpn$ is studied and closed formulas are obtained for all possible cases.

Received: August 17, 2007

AMS Subject Classification: 37B99, 05C38, 99B20, 94C99

Key Words and Phrases: finite dynamical systems, cycles' formulas, Galois rings

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 4