Unique maximal rings of functions

被引：0
|
作者：
Maxson, C. J. [1 ]
Meyer, J. H. [2 ]
机构：
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
[2] Univ Free State, Dept Math & Appl Math, Bloemfontein, South Africa
来源：
COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 01期
关键词：
Covers of groups; rings of functions; Primary; 16S60; Secondary; 20D99; ABELIAN-GROUPS; COVERED GROUPS;
D O I：
10.1080/00927872.2016.1175578
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For several classes of groups G, we characterize when the near-ring M-0(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 M-0(G) are commutative.
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页码：384 / 391
页数：8
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