1 Ocak 2015 Dergi makalesi Açık Erişim

Buyukasik, Engin; Durgun, Yilmaz

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/80679</identifier>
  <creators>
    <creator>
      <creatorName>Buyukasik, Engin</creatorName>
      <givenName>Engin</givenName>
      <familyName>Buyukasik</familyName>
      <affiliation>Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Durgun, Yilmaz</creatorName>
      <givenName>Yilmaz</givenName>
      <familyName>Durgun</familyName>
      <affiliation>Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Absolutely S-Pure Modules And Neat-Flat Modules</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2015</publicationYear>
  <dates>
    <date dateType="Issued">2015-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/80679</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1080/00927872.2013.842246</relatedIdentifier>
  </relatedIdentifiers>
  <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 ring with an identity element. We prove that R is right Kasch if and only if injective hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R-module is neat-flat. A commutative ring R is hereditary and noetherian if and only if every absolutely s-pure R-module is injective and R is nonsingular. If every simple right R-module is finitely presented, then (1) R-R is absolutely s-pure if and only if R is right Kasch and (2) R is a right Sigma-CS ring if and only if every pure injective neat-flat right R-module is projective if and only if every absolutely s-pure left R-module is injective and R is right perfect. We also study enveloping and covering properties of absolutely s-pure and neat-flat modules. The rings over which every simple module has an injective cover are characterized.</description>
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