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Principally Quasi-Baer Modules 被引量：3

Principally Quasi-Baer Modules
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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. 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.
作者 LIU Qiong OUYANG Bai Yu WU Tong Suo
机构地区 Department of Mathematics and Physics Department of Mathematics Department of Mathematics
出处 《Journal of Mathematical Research and Exposition》 CSCD 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）.
关键词 模块连接 r模 BAER环 等价刻画 贝尔 有限 principally quasi-Baer rings （modules） endomorphism rings annihilators semicentral idempotents.
分类号 O153.3 [理学—基础数学] TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献14

  • 1BIRKENMEIER G F, KIM J Y, PARK J K. Principally quasi-Baer rings [J]. Comm. Algebra, 2001, 29(2): 639-660.
  • 2BIRKENMEIER G F, KIM J Y, PARK J K. A sheaf representation of quasi-Baer rings [J]. J. Pure Appl. Algebra, 2000, 146(3): 209-223.
  • 3BIRKENMEIER G F, KIM J Y, PARK J K. On Quasi-Baer Rings [M]. Amer. Math. Soc., Providence, RI, 2000.
  • 4BIRKENMEIER G F, KIM J Y, PARK J K. Quasi-Baer ring extensions and biregular rings [J]. Bull. Austral. Math. Soc., 2000, 61(1): 39-52.
  • 5CLARK W E. Twisted matrix units semigroup algebras [J]. Duke Math. J., 1967, 34: 417-423.
  • 6KAPLANSKY I. Rings of Operators [M]. New York-Amsterdam, 1968.
  • 7BERBERIAN S K. Baer^*-Rings [M]. Springer-Verlag, New York-Berlin, 1972.
  • 8CHATTERS A W, KHURI S M. Endomorphism rings of modules over nonsingular CS rings [J]. J. London Math. Soc. (2), 1980, 21(3): 434-444.
  • 9KHURJ S M. Nonsingular retractable modules and their endomorphism rings [J]. Bull. Austral. Math. Soc., 1991, 43(1): 63-71.
  • 10KIM J Y, PARK J K. When is a regular ring a semisimple Artinian ring [J]. Math. Japon., 1997, 46(2): 311-313.

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二级引证文献1

Journal of Mathematical Research and Exposition
2009年 第5期

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