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On weak Rickart modules

Tutuncu, Derya Keskin; Ertas, Nil Orhan; Tribak, Rachid


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{
  "DOI": "10.1142/S0219498817501651", 
  "abstract": "We introduce and study the notion of w-Rickart modules (i.e. modules M such that for every nonzero endomorphism phi of M, the kernel of phi is contained in a proper direct summand of M). We show that the class of right w-Rickart modules lies properly between the class of right K-nonsingular modules and the class of right Rickart modules. Many properties of w-Rickart modules are established. Some relevant counterexamples are indicated.", 
  "author": [
    {
      "family": "Tutuncu", 
      "given": " Derya Keskin"
    }, 
    {
      "family": "Ertas", 
      "given": " Nil Orhan"
    }, 
    {
      "family": "Tribak", 
      "given": " Rachid"
    }
  ], 
  "container_title": "JOURNAL OF ALGEBRA AND ITS APPLICATIONS", 
  "id": "49849", 
  "issue": "9", 
  "issued": {
    "date-parts": [
      [
        2017, 
        1, 
        1
      ]
    ]
  }, 
  "title": "On weak Rickart modules", 
  "type": "article-journal", 
  "volume": "16"
}
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