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On 2-Absorbing Quasi Primary Submodules

Koc, Suat; Uregen, Rabia Nagehan; Tekir, Unsal


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/50051</identifier>
  <creators>
    <creator>
      <creatorName>Koc, Suat</creatorName>
      <givenName>Suat</givenName>
      <familyName>Koc</familyName>
      <affiliation>Marmara Univ, Dept Math, Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Uregen, Rabia Nagehan</creatorName>
      <givenName>Rabia Nagehan</givenName>
      <familyName>Uregen</familyName>
      <affiliation>Yildiz Tech Univ, Grad Sch Nat &amp; Appl Sci, Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Tekir, Unsal</creatorName>
      <givenName>Unsal</givenName>
      <familyName>Tekir</familyName>
      <affiliation>Marmara Univ, Dept Math, Istanbul, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On 2-Absorbing Quasi Primary Submodules</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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    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/50051</alternateIdentifier>
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  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.2298/FIL1710943K</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">Let R be a commutative ring with nonzero identity, and let M be a nonzero unital R-module. In this article, we introduce the concept of 2-absorbing quasi primary submodules which is a generalization of prime submodules. We define 2-absorbing quasi primary submodule as a proper submodule N of M having the property that abm is an element of N, then ab is an element of root(N :(R) M) or am is an element of rad(M)(N) or bm is an element of rad(M)(N) : Various results and examples concerning 2-absorbing quasi primary submodules are given.</description>
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