CENTRALIZER NEAR-RINGS OVER FREE RING MODULES

被引：14

作者：

MAXSON, CJ ^{[1
]}

VANDERWALT, APJ ^{[1
]}

机构：

[1] UNIV STELLENBOSCH,DEPT MATH,STELLENBOSCH 7600,SOUTH AFRICA

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1991年 / 50卷

关键词：

D O I：

10.1017/S1446788700032754

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We treat centralizer near-rings over ring modules in general, with particular emphasis on the case of free modules. Questions like the following are answered. When is the near-ring a nonring? When is the near-ring simple? What are its maximal and minimal left ideals? What is its subgroup structure? What is the radical? The cases where the ring concerned is a PID or a field are treated in some detail.

引用

页码：279 / 296

页数：18