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Factorizations of Matrices over Projective-free Rings

Chen, Huanyin; Kose, H.; Kurtulmaz, Y.


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/56359</identifier>
  <creators>
    <creator>
      <creatorName>Chen, Huanyin</creatorName>
      <givenName>Huanyin</givenName>
      <familyName>Chen</familyName>
      <affiliation>Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China</affiliation>
    </creator>
    <creator>
      <creatorName>Kose, H.</creatorName>
      <givenName>H.</givenName>
      <familyName>Kose</familyName>
      <affiliation>Ahi Evran Univ, Dept Math, Kirsehir, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Kurtulmaz, Y.</creatorName>
      <givenName>Y.</givenName>
      <familyName>Kurtulmaz</familyName>
      <affiliation>Bilkent Univ, Dept Math, Ankara, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Factorizations Of Matrices Over Projective-Free Rings</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2016</publicationYear>
  <dates>
    <date dateType="Issued">2016-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/56359</alternateIdentifier>
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  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1142/S1005386716000043</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">An element of a ring R is called strongly J(#)-clean provided that it can be written as the sum of an idempotent and an element in J(#)(R) that commute. In this paper, we characterize the strong J(#)-cleanness of matrices over projective-free rings. This extends many known results on strongly clean matrices over commutative local rings.</description>
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