Unique maximal rings of functions |
| |
Authors: | C. J. Maxson |
| |
Affiliation: | 1. Department of Mathematics, Texas A&2. M University, College Station, Texas, USA |
| |
Abstract: | For several classes of groups G, we characterize when the near-ring M0(G) of 0-preserving selfmaps on G contains a unique maximal ring. Definitive results are obtained for finite Abelian, finite nilpotent, and finite permutation groups. As an application, we determine those finite groups G such that all rings in M0(G) are commutative. |
| |
Keywords: | Covers of groups rings of functions |
|
|