1 Ocak 2014 Dergi makalesi Açık Erişim

Keskin Tutuncu, Derya; Orhan Ertas, Nil; Smith, Patrick F.; Tribak, Rachid

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        "affiliation": "Hacettepe Univ, Dept Math, Ankara, Turkey", 
        "name": "Keskin Tutuncu, Derya"
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      {
        "affiliation": "Karabuk Univ, Dept Math, Karabuk, Turkey", 
        "name": "Orhan Ertas, Nil"
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      {
        "affiliation": "Univ Glasgow, Dept Math, Glasgow, Lanark, Scotland", 
        "name": "Smith, Patrick F."
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      {
        "affiliation": "Reg Ctr Career Educ & Training CRMEF Tangier, Tangier, Morocco", 
        "name": "Tribak, Rachid"
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    "description": "The snbmodule (Z)overbar(M) = boolean AND{N vertical bar M/N is small in its injective hull} was introduced by Talebi and Vanaja in 2002. A ring R is said to have property (P) if (Z)overbar(M) is a direct summand of M for every R-module M. It is shown that a commutative perfect ring R has (P) if and only if R is semisimple. An example is given to show that this characterization is not true for noncommutative rings. We prove that if R is a commutative ring such that the class {M is an element of Mod-R vertical bar <(Z)overbar >(R)(M) = 0} is closed under factor modules, then R has (P) if and only if the ring R is von Neumann regular.", 
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      "issue": "4", 
      "pages": "649-657", 
      "title": "TURKISH JOURNAL OF MATHEMATICS", 
      "volume": "38"
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    "title": "Some rings for which the cosingular submodule of every module is a direct summand"
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