Principally Quasi-Baer Modules  

作　　者：LIU Qiong OUYANG Bai Yu WU Tong Suo 

机构地区：[1]Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China [2]Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China [3]Department of Mathematics, Hunan Normal University, Hunan 410081, China

出　　处：《Journal of Mathematical Research and Exposition》2009年第5期823-830,共8页数学研究与评论（英文版）

基　　金：Foundation item： the National Natural Science Foundation of China （No. 10671122）.

摘　　要：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.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.

关 键 词：principally quasi-Baer rings （modules） endomorphism rings ANNIHILATORS semicentral idempotents. 

分 类 号：O153.3[理学—数学] TP273[理学—基础数学]