Unique maximal rings of functions |
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| Authors: | C J Maxson |
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| Institution: | 1. Department of Mathematics, Texas A&2. M University, College Station, Texas, USA |
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| 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. |
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| Keywords: | Covers of groups rings of functions |
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