Group rings with annihilator conditions

被引：3
|
作者：
Shen, L. [1 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2018年 / 156卷 / 01期
关键词：
group ring; Kasch ring; dual ring; CF ring; perfect duality;
D O I：
10.1007/s10474-018-0860-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A ring R is called left (Kasch) dual if every (maximal) left ideal of R is a left annihilator. R is left CF if every left ideal of R is the left annihilator of a finite number of elements of R. Let RG be the group ring of a group G over a ring R. It is proved that RG is a left Kasch ring if and only if R is left Kasch and G is finite. Characterizations of left dual (left CF) group rings are also discussed in this article.
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页码：38 / 46
页数：9
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