Abstract:
Nonlinear sequential machines (NSM) are considered over a ring$G(p)$ where $p=p_1p_2\dots p_l$ (all $p_i\quad(i=\overline{1,l})$ being prime numbers). In this case the NSM over $G(p)$ is shown to be isomorphous with a parallel connection of NSM's over a Galois fields $GF(p_i)\quad(i=\overline{1,l})$.