On the regular radical of a group ring

被引：0

作者：

Parmenter, MM ^{[1
]}

Spiegel, E

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St Johns, NF A1C 5S7, Canada

[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

来源：

COMMUNICATIONS IN ALGEBRA | 1999年 / 27卷 / 07期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1080/00927879908826629

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If R is a commutative ring with identity and G a group, it is shown that the regular radical of the group ring RG is trivial if the regular radical of R is trivial. This answers in the affirmative the commutative case of a question in [4]. Further, the regular radical of RG is computed when G is an Abelian group or when G is locally finite and the order of each element of G is a unit in R.

引用

页码：3317 / 3327

页数：11

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