• Title of article

    COFINITELY INJECTIVE AND PROJECTIVE MODULES

  • Author/Authors

    Nebiyev, C. Ondokuz Mayıs University, Branch of Mathematics - Faculty of Education, Turkey , Pancar, A. Ondokuz Mayıs University - Faculty of Arts and Science - Department of Mathematics, Turkey

  • From page
    171
  • To page
    182
  • Abstract
    In this work, cofinitely injective and cofinitely projective modules are defined. Some properties of cofinitely injective and cofinitely projective modules are investigated. Let N be an R-module. Then every R-module is cofinitely N-injective if and only if every cofinite submodule of N is a direct summand. This is also true for cofinitely projective modules. Let M be a nonzero R-module. If every cofinitely M-projective (M-injective) module is M-projective (M-injective) then RadM 6≠ M.
  • Keywords
    Exact sequences , Homomorphisms , Injective modules , Projective modules.
  • Journal title
    Hacettepe Journal Of Mathematics an‎d Statistics
  • Journal title
    Hacettepe Journal Of Mathematics an‎d Statistics
  • Record number

    2600935

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2600935