Solvability and nilpotency of expanded groups relative to the nearring of zero and congruence preserving functions

被引：0
|
作者：
Peterson, Gary L. [1 ]
Scott, Stuart D. [2 ]
机构：
[1] James Madison Univ, Dept Math & Stat, Harrisonburg, VA 22807 USA
[2] Univ Auckland, Dept Math, Auckland, New Zealand
来源：
QUAESTIONES MATHEMATICAE | 2022年 / 45卷 / 12期
基金：
奥地利科学基金会;
关键词：
Primary; Secondary; Expanded group; polynomial function; congruence preserving function; nearring; nearring module;
D O I：
10.2989/16073606.2021.1980918
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study solvability and nilpotency of an expanded group relative to the nearring of zero and congruence preserving functions of the expanded group. A particular case of interest is when the expanded group is a nearring module. This leads to consequences when an expanded group is viewed as a nearring module over its nearring of zero preserving polynomial functions.
引用
收藏
页码：1965 / 1976
页数：12
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