Principally Quasi-Baer Modules
Received:October 22, 2007  Revised:March 08, 2008
Key Word: principally quasi-Baer rings (modules)   endomorphism rings   annihilators   semicentral idempotents.  
Fund ProjectL:the National Natural Science Foundation of China (No.10671122).
Author NameAffiliation
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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