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.
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页码：3317 / 3327
页数：11
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