• DocumentCode
    2175784
  • Title

    Weakly AGP-injective rings

  • Author

    Zhu, Zhanmin

  • Author_Institution
    Dept. of Math., Jiaxing Univ., Jiaxing, China
  • fYear
    2011
  • fDate
    9-11 Sept. 2011
  • Firstpage
    2387
  • Lastpage
    2389
  • Abstract
    A ring R is called right Weakly AGP-injective or right WAGP-injective for short, if for any 0 ≠a ε R there exist b ε R and a left ideal Xab such that ab = ba ≠0 and lr(ab)=Rab ⊕ Xab. In this Article, we mainly investigate properties of right WAGP-injective rings, especially, right WAGP-injective rings satisfying ascending chain conditions on some right annihilator, and right WAGP-injective left noetherian rings are studied respectively. Moreover, left noetherian right GP-injective rings are also investigated.
  • Keywords
    algebra; set theory; ascending chain conditions; left noetherian right GP injective rings; right WAGP injective left noetherian rings; right WAGP injective rings; right annihilator; right weakly AGP-injective ring; Algebra; Argon; Contracts; Educational institutions; Strontium; Zirconium; 16D50; 16L30; 16P40; 16P60; WAGP-injective rings; noetherian rings. 2010 Mathematics subject classification; perfect rings; semiperfect rings;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electronics, Communications and Control (ICECC), 2011 International Conference on
  • Conference_Location
    Ningbo
  • Print_ISBN
    978-1-4577-0320-1
  • Type

    conf

  • DOI
    10.1109/ICECC.2011.6066566
  • Filename
    6066566
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2175784