REGULAR SKEW GROUP-RINGS

被引：4
作者：
ALFARO, R
ARA, P
DELRIO, A
机构：
[1] UNIV AUTONOMA BARCELONA,DEPT MATEMAT,E-08193 BARCELONA,SPAIN
[2] UNIV MURCIA,DEPT MATEMAT,E-30001 MURCIA,SPAIN
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1995年 / 58卷
关键词：
D O I：
10.1017/S1446788700038210
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a group acting on a ring R. We study the problem of determining necessary and sufficient conditions in order that the skew group ring RG be von Neumann regular. Complete characterizations are given in some particular situations, including the case where all idempotents of R are central. For a regular ring R admitting a G-invariant pseudo-rank function N, with G finite, we obtain a necessary condition for RG being regular in terms of the induced action of G on the N-completion of R.
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页码：167 / 182
页数：16
相关论文
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