• Title of article

    Coprime Submodules

  • Author/Authors

    Hadi, I. M. A. University of Baghdad - College of Education Ibn-Al-Haitham - Department of Mathematics, Iraq

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  • Abstract
    Let R be a commutative ring with unity and let M be a unitary R-module. It is wellknown that a proper submodule N of an R-module M is called prime if whenever rR, xM, rxN implies xN or r  [N:M ], where [N:M]={rR: rMN}. M is called a prime module if R ann M = R ann N for all nonzero submodule N of M , equivalently M is a prime module iff (0) is a prime submodule
  • Keywords
    Coprime submodules , second submodule , second (coprime) module , secondary module
  • Journal title
    Ibn Alhaitham Journal For Pure and Applied Science
  • Journal title
    Ibn Alhaitham Journal For Pure and Applied Science
  • Record number

    2601885

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2601885