Principally quasi-Baer rings

被引：149
|
作者：
Birkenmeier, GF [1 ]
Kim, JY
Park, JK
机构：
[1] Univ Louisiana, Dept Math, Lafayette, LA 70504 USA
[2] Kyung Hee Univ, Dept Math, Suwon 449701, South Korea
[3] Busan Natl Univ, Dept Math, Pusan 609735, South Korea
来源：
COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
right PP rings; Baer rings; quasi-Baer rings; biregular rings; semicentral idempotents; annihilators;
D O I：
10.1081/AGB-100001530
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We say a ring with unity is right principally quasi-Baer (or simply, right p.q. -Baer) if the right annihilator of a principal right ideal is generated las a right ideal) by an idempotent. This class of rings includes the biregular rings and is closed under direct products and Morita invariance. The 2-by-2 formal upper triangular matrix rings of this class are characterized. Connections to related classes of rings (e.g., right PP, Baer, quasi-Baer, right FPF, right GFC, etc.) are investigated. Examples to illustrate and delimit the theory are provided.
引用
收藏
页码：639 / 660
页数：22
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