数学季刊 ›› 2013, Vol. 28 ›› Issue (4): 532-538.

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关于伪小内射模

  

  1. 1. College of Mathematics, Anhui University2. College of Mathematics, Qingdao University
  • 收稿日期:2012-01-31 出版日期:2013-12-30 发布日期:2023-02-17
  • 作者简介:ZHAO Yu-e(1977-), female, native of Qingdao, Shandong, a lecturer of Qingdao University, M.S.D., engages in ring theory.
  • 基金资助:
    Supported by the Ph.D.Programs Foundation of Ministry of Education of China(200803570003)

On Pseudo Small Injective Modules

  1. 1. College of Mathematics, Anhui University2. College of Mathematics, Qingdao University
  • Received:2012-01-31 Online:2013-12-30 Published:2023-02-17
  • Supported by:
    Supported by the Ph.D.Programs Foundation of Ministry of Education of China(200803570003)

摘要: The denition of principally pseudo injectivity motivates us to generalize the notion of injectivity, noted SP pseudo injectivity. The aim of this paper is to investigate characterizations and properties of SP pseudo injective modules. Various results are developed, many extending known results. As applications, we give some characterizations on Noetherian rings, QI rings, quasi-Frobenius rings.

关键词: SP pseudo injective modules, semiregular modules, SP injective modules, co- Hop?an modules

Abstract: The denition of principally pseudo injectivity motivates us to generalize the notion of injectivity, noted SP pseudo injectivity. The aim of this paper is to investigate characterizations and properties of SP pseudo injective modules. Various results are developed, many extending known results. As applications, we give some characterizations on Noetherian rings, QI rings, quasi-Frobenius rings.


Key words: SP pseudo injective modules, semiregular modules, SP injective modules, co- Hop?an modules

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