• Title of article

    Strongly Essentially Quasi-Dedekind Modules

  • Author/Authors

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

  • From page
    380
  • To page
    388
  • Abstract
    Let R be a commutative ring with unity . In this paper we introduce and study the concept of strongly essentially quasi-Dedekind module as a generalization of essentially quasi- Dedekind module. A unitary R-module M is called a strongly essentially quasi-Dedekind module if Hom(M N,M ) =0 for all semiessential submodules N of M. Where a submodule N of an R-module M is called semiessential if , N∩ p ≠ 0 for all nonzero prime submodules P of M .
  • Keywords
    Essentially quasi , Dedekind Modules , Strongly essentially quasi , Dedekind Modules, Semiessential submodules, M ultiplication Modules.
  • Journal title
    Ibn Alhaitham Journal For Pure and Applied Science
  • Journal title
    Ibn Alhaitham Journal For Pure and Applied Science
  • Record number

    2602116