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Projectivity relative to closed (neat) submodol

Durgun, Yilmaz


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/259535</identifier>
  <creators>
    <creator>
      <creatorName>Durgun, Yilmaz</creatorName>
      <givenName>Yilmaz</givenName>
      <familyName>Durgun</familyName>
      <affiliation>Cukurova Univ, Dept Math, Adana, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Projectivity Relative To Closed (Neat) Submodol</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2022</publicationYear>
  <dates>
    <date dateType="Issued">2022-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/259535</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1142/S0219498822501146</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>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study closed (neat) projective modules. In particular, the structure of a ring over which every finitely generated (cyclic, injective) right R-module is closed (neat) projective is studied. Furthermore, the relationship among the proper classes which are induced by closed submodules, neat submodules, pure submodules and C-pure submodules are investigated.</description>
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