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UC modules with respect to a torsion theory

Ceken, Secil; Alkan, Mustafa


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/86865</identifier>
  <creators>
    <creator>
      <creatorName>Ceken, Secil</creatorName>
      <givenName>Secil</givenName>
      <familyName>Ceken</familyName>
      <affiliation>Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Alkan, Mustafa</creatorName>
      <givenName>Mustafa</givenName>
      <familyName>Alkan</familyName>
      <affiliation>Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Uc Modules With Respect To A Torsion Theory</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2012</publicationYear>
  <dates>
    <date dateType="Issued">2012-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/86865</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.3906/mat-1009-33</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">In tins paper, we give some characterizations of modules M over a ring R such that every submodule has a unique closure relative to a hereditary torsion theory on Mod- R by using the concept of tau-closed submodule which was studied in [2]. We compare UC and tau-UC modules and examine the relationships between them. We also give some examples of tau-UC and UC modules and submodules which have a unique tau-closure and unique closure.</description>
  </descriptions>
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