• Title of article

    NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS

  • Author/Authors

    Youse an Darani، A. نويسنده Department of Mathematics and Applications, University of Mohaghegh Ardabili, P.O.Box 5619911367, Ardabil, Iran. ,

  • Issue Information
    دوفصلنامه با شماره پیاپی 0 سال 2016
  • Pages
    10
  • From page
    201
  • To page
    210
  • Abstract
    In this paper, we introduce a new class of modules that is closely related to the class of Noetherian modules. Let R be a commutative ring with identity, and M be an R-module such that Nil(M) is a divided prime submodule of M. M is called a nonnil-Noetherian R-module if every nonnil submodule of M is nitely-generated. We prove that many properties of the Noether- ian modules are also true for the nonnil-Noetherian modules.
  • Journal title
    Journal of Algebraic Systems
  • Serial Year
    2016
  • Journal title
    Journal of Algebraic Systems
  • Record number

    2389284

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2389284