• شماره ركورد كنفرانس
    5263
  • عنوان مقاله

    Strongly irreducible submodules in a Noetherian module

  • پديدآورندگان

    Sedghi Monireh m_sedghi@tabrizu.ac.ir Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran. , Naghipour Reza naghipour@ipm.ir Department of Mathematics, University of Tabriz, Tabriz, Iran.

  • تعداد صفحه
    4
  • كليدواژه
    Arithmetical module , irreducible submodule , multiplication module , strongly irreducible submodule , prime submodule , primal submodule
  • سال انتشار
    1402
  • عنوان كنفرانس
    54 امين كنفرانس رياضي ايران
  • زبان مدرك
    انگليسي
  • چكيده فارسي
    ‎The purpose of this talk is to present some properties of the‎ ‎strongly irreducible submodules in a Noetherian module over a commutative ring‎.‎‎ ‎T‎‎‎he relationship among the families‎ ‎of strongly irreducible submodules‎, ‎irreducible submodules‎, ‎prime‎ ‎submodules and primal submodules is proved‎. ‎Also‎, ‎several new‎ ‎characterizations of the arithmetical modules are given‎. ‎In the case‎ ‎when the ring is Noetherian‎, ‎several‎‎characterizations of strongly irreducible submodules are included‎.
  • كشور
    ايران
    • لينک به اين مدرک
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=36&DC=341449