兰州理工大学学报

兰州理工大学学报 ›› 2023, Vol. 49 ›› Issue (6): 169-172.

• 数理科学 • 上一篇    

广义Rickart模

王永铎*, 任玉芳   

  1. 兰州理工大学 理学院, 甘肃 兰州 730050
  • 收稿日期:2022-07-05 出版日期:2023-12-28 发布日期:2024-01-05
  • 通讯作者: 王永铎(1974-),男,甘肃靖远人,博士,教授.Email:ydwang@lut.edu.cn
  • 基金资助:
    国家自然科学基金(11861043)

Generalized Rickart modules

WANG Yong-duo, REN Yu-fang   

  1. School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China
  • Received:2022-07-05 Online:2023-12-28 Published:2024-01-05

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摘要： 引入了广义Rickart模的概念, 讨论了广义Rickart模与Rickart模及GSIP模的关系. 给出了半单阿廷环及V-环新的刻画.

关键词: 广义Rickart模, Rickart模, GSIP模, 半单阿廷环, V-环

Abstract: The concept of generalized Rickart modules is introduced in this paper. Then the relationships between generalized Rickart modules, Rickart modules, and GSIP modules are studied. Finally, a new characterization of precisely semisimple artinian rings and V-rings is given.

Key words: generalized Rickart modules, Rickart modules, GSIP modules, semisimple artinian ring, V-ring

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