• شماره ركورد كنفرانس
    4079
  • عنوان مقاله

    A characterization of relative pure injective R-modules

  • پديدآورندگان

    Zareh-Khoshchehreh .F fzarehkh@bzte.ac.ir Buein Zahra Technical University

  • تعداد صفحه
    2
  • كليدواژه
    Auslander transpose , Envelope , Finitely presented module , S , pure injective module
  • سال انتشار
    1395
  • عنوان كنفرانس
    چهل و هفتمين كنفرانس رياضي ايران
  • زبان مدرك
    انگليسي
  • چكيده فارسي
    Let R be a commutative ring with identity and S be any class of finitely presented R-modules containing R. Then the class of all S-pure injective R-modules is enveloping. Moreover, an Rmodule M is S-pure injective if and only if it is isomorphic to a direct summand of an R-module of the form $\prod_{i\in I}U_{i}^{+}$ where Ui is isomorphic to an R-module in add(tr(S)) for all $i\in I$
  • كشور
    ايران