A NOTE ON INVOLUTION RINGS

被引：2
|
作者：
Mendes, D. I. C. [1 ]
机构：
[1] Univ Beira Interior, Dept Matemat, Covilha, Portugal
来源：
MISKOLC MATHEMATICAL NOTES | 2009年 / 10卷 / 02期
关键词：
involution ring; subdirectly irreducible ring; von Neumann regular ring; norm; trace;
D O I：
10.18514/MMN.2009.206
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Classifications of subdirectly irreducible involution rings via some properties of trace elements are given. As an application, von Neumann regular involution rings with central idempotent norm elements are described. The structure of certain involution rings in which the norms are multiplicatively generated by nilpotents is also determined.
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页码：155 / 162
页数：8
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