• Title of article

    SMALL SUBMODULES WITH RESPECT TO AN ARBITRARY SUBMODULE

  • Author/Authors

    Beyranvand، Reza نويسنده Department of Mathematics, lorestan University , , Moradi، Fatemeh نويسنده Department of Mathematics, Lorestan University ,

  • Issue Information
    دوفصلنامه با شماره پیاپی سال 2015
  • Pages
    9
  • From page
    43
  • To page
    51
  • Abstract
    Let R be an arbitrary ring and T be a submodule of an R-module M. A submodule N of M is called T-small in M provided for each submodule X of M, T  X + N implies that T  X. We study this mentioned notion which is a generalization of the small submodules and we obtain some related results.
  • Keywords
    T-maximal submodule , Small submodule , T-small submodule
  • Journal title
    Journal of Algebra and Related Topics
  • Serial Year
    2015
  • Journal title
    Journal of Algebra and Related Topics
  • Record number

    2402525