| 主拟-Baer模 |
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| 引用本文： | 刘琼,欧阳柏玉,武同锁.主拟-Baer模[J].数学研究及应用,2009,29(5):823-830. |
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| 作者姓名： | 刘琼 欧阳柏玉 武同锁 |
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| 作者单位： | 上海电力学院数理系, 上海 200090; 上海交通大学数学系, 上海 200240;湖南师范大学数学与计算机科学学院, 湖南 长沙 410081;上海交通大学数学系, 上海 200240 |
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| 基金项目： | 国家自然科学基金(No.10671122). |
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| 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.
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| 关 键 词： | 模块连接 r模 Baer环 等价刻画 贝尔 有限 |
| 收稿时间： | 2007/10/22 0:00:00 |
| 修稿时间： | 3/8/2008 12:00:00 AM |
Principally Quasi-Baer Modules |
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| LIU Qiong,OUYANG Bai Yu and WU Tong Suo.Principally Quasi-Baer Modules[J].Journal of Mathematical Research with Applications,2009,29(5):823-830. |
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| Authors: | LIU Qiong OUYANG Bai Yu and WU Tong Suo |
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| Institution: | Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China; Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China;Department of Mathematics, Hunan Normal University, Hunan 410081, China;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. |
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| Keywords: | principally quasi-Baer rings (modules) endomorphism rings annihilators semicentral idempotents |
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