• DocumentCode
    3170239
  • Title

    FCG-projective modules and some rings

  • Author

    Zhu, Zhanmin

  • Author_Institution
    Dept. of Math., Jiaxing Univ., Jiaxing, China
  • fYear
    2011
  • fDate
    8-10 Aug. 2011
  • Firstpage
    5029
  • Lastpage
    5031
  • Abstract
    A module MR is called FCG-projective if ExtR1(M, A) = 0 for every finitely cogenerated right R-module A. A ring R is called right co-hereditary if every factor module of a finitely cogenerated injective right R-module is injective. Some characterizations of FCG-projective modules, right co-hereditary rings and right V-rings are given. FCG-projective dimensions of modules are defined, and FCG-projective dimensions of modules over right co-notherian rings are studied.
  • Keywords
    algebra; FCG-projective module; cogenerated injective right R-module; right co-hereditary ring; right co-notherian ring; Electronic mail; Mathematics; System-on-a-chip; FCG-projective module; V-ring. 2010 Mathematics subject classification: 16D40, 16E10, 16E60; co-noetherian ring; cohereditary ring;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC), 2011 2nd International Conference on
  • Conference_Location
    Deng Leng
  • Print_ISBN
    978-1-4577-0535-9
  • Type

    conf

  • DOI
    10.1109/AIMSEC.2011.6010401
  • Filename
    6010401
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3170239