Minimal left ideals of near-rings

被引:0
|
作者
G. Wendt
机构
[1] Johannes Kepler UniversitÄat Linz,Institut für Algebra
来源
Acta Mathematica Hungarica | 2010年 / 127卷
关键词
minimal left ideal; planar near-ring; (near)-ring with trivial multiplication; 16Y30;
D O I
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中图分类号
学科分类号
摘要
We show that a finite minimal left ideal L of a zero symmetric near-ring N is a planar near-ring if L is not contained in the radical J2(N). This result will follow from a more general discussion on minimal N-subgroups of a near-ring. Then we discuss some consequences of this result when applied to the structure theory of near-rings. Finally we transfer our results to rings and deal with some ring theoretic questions concerning “trivial” multiplications in rings.
引用
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页码:52 / 63
页数:11
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