a1 Department of Mathematics University of Edinburgh Mayfield Road, Edinburgh EH9 3JZ, Scotland
a2 Institutut Für Mathematik Johannes Kepler Universität A-4040 Linz, Austria
a3 Department of Mathematics, Tunghai University Taichung, Taiwan 400, Republic of China
The set G[x] of polynomials over a group (G, + )—as well as the polynomial functions P(G) on (G, +) form near-rings with respect to addition and composition (substitution). See  for polynomials and  for near-rings. A number of results on G[x] can be deduced from .
Due to , the polynomials in G[x] can uniquely be represented in the following “normal form”:
(Received November 09 1983)