Principally quasi-Baer rings

被引：151

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

页码：639 / 660

页数：22

共 36 条

[1]

Armendariz E.P., 1974, J AUSTR MATH SOC, V18, P470

[2]

Bell HE., 1970, B AUSTRAL MATH SOC, V2, P363, DOI DOI 10.1017/S0004972700042052

[3]

BERBERIAN SK, 1972, GRUNDLEHREN MATH WIS, V195

[4] Triangular matrix representations [J].