1 Ocak 2014 Dergi makalesi Açık Erişim

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

Citation Style Language JSON

{
  "DOI": "10.3906/mat-1210-15", 
  "abstract": "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.", 
  "author": [
    {
      "family": "Keskin Tutuncu", 
      "given": " Derya"
    }, 
    {
      "family": "Orhan Ertas", 
      "given": " Nil"
    }, 
    {
      "family": "Smith", 
      "given": " Patrick F."
    }, 
    {
      "family": "Tribak", 
      "given": " Rachid"
    }
  ], 
  "container_title": "TURKISH JOURNAL OF MATHEMATICS", 
  "id": "65339", 
  "issue": "4", 
  "issued": {
    "date-parts": [
      [
        2014, 
        1, 
        1
      ]
    ]
  }, 
  "page": "649-657", 
  "title": "Some rings for which the cosingular submodule of every module is a direct summand", 
  "type": "article-journal", 
  "volume": "38"
}