Planar near-rings, sandwich near-rings and near-rings with right identity

被引：4
|
作者：
Wendt, G [1 ]
机构：
[1] Johannes Kepler Univ, Inst Algebra, A-4040 Linz, Austria
来源：
Nearring and Nearfields | 2005年
关键词：
D O I：
10.1007/1-4020-3391-5_15
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that every near-ring containing a multiplicative right identity can be described as a centralizer near-ring with sandwich multiplication. Using this result we characterize planar near-rings and near-rings solving the equation xa=c in terms of such centralizer near-rings with sandwich multiplication. We also get results on primitive near-rings and on minimal left ideals in primitive near-rings, 2000 Mathematics Subject Classification: 16Y30.
引用
收藏
页码：277 / 291
页数：15
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