Principally Quasi-Baer Modules |
Received:October 22, 2007 Revised:March 08, 2008 |
Key Words:
principally quasi-Baer rings (modules) endomorphism rings annihilators semicentral idempotents.
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Fund Project:the National Natural Science Foundation of China (No.10671122). |
Author Name | Affiliation | LIU Qiong | Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China | OUYANG Bai Yu | Department of Mathematics, Hunan Normal University, Hunan 410081, China | WU Tong Suo | Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China |
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Abstract: |
In this paper, we give the equivalent characterizations of principally quasi-Baer modules, and show that any direct summand of a principally quasi-Baer module inherits the property and any finite direct sum of mutually subisomorphic principally quasi-Baer modules is also principally quasi-Baer. Moreover, we prove that left principally quasi-Baer rings have Morita invariant property. Connections between Richart modules and principally quasi-Baer modules are investigated. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2009.05.007 |
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