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On weak Rickart modules

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


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    <creator>
      <creatorName>Tutuncu, Derya Keskin</creatorName>
      <givenName>Derya Keskin</givenName>
      <familyName>Tutuncu</familyName>
      <affiliation>Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Ertas, Nil Orhan</creatorName>
      <givenName>Nil Orhan</givenName>
      <familyName>Ertas</familyName>
      <affiliation>Karabuk Univ, Dept Math, TR-78050 Karabuk, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Tribak, Rachid</creatorName>
      <givenName>Rachid</givenName>
      <familyName>Tribak</familyName>
      <affiliation>Ctr Reg Metiers Educ &amp; Format CRMEF Tanger, Ave My Abdelaziz,BP 3117, Tangier 90000, Morocco</affiliation>
    </creator>
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  <titles>
    <title>On Weak Rickart Modules</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2017</publicationYear>
  <dates>
    <date dateType="Issued">2017-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
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  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1142/S0219498817501651</relatedIdentifier>
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  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="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.</description>
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