• Author/Authors

    Mutlu, Figen Takıl Anadolu Üniversitesi - Fen Fakültesi - Matematik Bölümü, Turkey

  • Title Of Article

    On Free Modules with The SA Property

  • شماره ركورد
    27799
  • Abstract
    A ring R has the right summand intersection property (SIP) if the intersection of two direct summands of R is also a direct summand. A right R‐module M has the absolute direct summand property (ads) if for every decomposition M=A ⊕ B of M and every complement C of A in M, we have M= A ⊕ C. It is shown that the direct sum of two copies of a semisimple right Ore domain has both SIP and ads properties (briefly, SA property) as a right module over itself.
  • From Page
    247
  • NaturalLanguageKeyword
    Ads property , Summand intersection property , Ore condition
  • JournalTitle
    Afyon Kocatepe University Journal Of Science an‎d Engineering
  • To Page
    249
  • JournalTitle
    Afyon Kocatepe University Journal Of Science an‎d Engineering