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On weak Rickart modules

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


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        "affiliation": "Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkey", 
        "name": "Tutuncu, Derya Keskin"
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      {
        "affiliation": "Karabuk Univ, Dept Math, TR-78050 Karabuk, Turkey", 
        "name": "Ertas, Nil Orhan"
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        "affiliation": "Ctr Reg Metiers Educ & Format CRMEF Tanger, Ave My Abdelaziz,BP 3117, Tangier 90000, Morocco", 
        "name": "Tribak, Rachid"
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    "description": "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.", 
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      "title": "JOURNAL OF ALGEBRA AND ITS APPLICATIONS", 
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