PRINCIPALLY QUASI-BAER RINGS
PRINCIPALLY QUASI-BAER RINGS
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DOI：
10.1081/agb-100001530
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发表时间：
2001-01
影响因子：
0.7
通讯作者：
G. Birkenmeier;Jin Yong Kim;J. Park
中科院分区：
文献类型：
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作者：
G. Birkenmeier;Jin Yong Kim;J. Park
如果主右理想的右消灭子是由幂等生成的（作为右理想），我们就说一个具有统一性的环是主准贝尔右（或者简称为右 p.q.-Baer）。此类环包括双正则环，并且在直积和森田不变性下是封闭的。表征了此类 2×2 形式上三角矩阵环。研究了与相关类别环（例如，右 PP、贝尔、拟贝尔、右 FPF、右 GFC 等）的连接。提供了示例来说明和界定理论。
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 (as 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.