On ordered monoid rings over a quasi-Baer ring

被引：31
|
作者：
Hirano, Y [1 ]
机构：
[1] Okayama Univ, Dept Math, Okayama 700, Japan
来源：
COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 05期
关键词：
D O I：
10.1081/AGB-100002171
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A ring R is called (left principally) quasi-Baer if the left annihilator of every (principal) left ideal of R is generated by an idempotent. We show that if R is (left principally) quasi-Baer and G is an ordered monoid, then the monoid ring RG is again (left principally) quasi-Baer. When R is (left principally) quasi-Baer and G is an ordered group acting on R, we give a necessary and sufficient condition for the skew group ring R#G to be (left principally) quasi-Baer.
引用
收藏
页码：2089 / 2095
页数：7
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