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LATTICE PROPERTIES OF THE MINUS ORDER ON REGULAR MODULES

Argun, Savci Rahman; Calci, Tugce Pekacar; Halicioglu, Sait; Harmanci, Abdullah; Ungor, Burcu


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/256215</identifier>
  <creators>
    <creator>
      <creatorName>Argun, Savci Rahman</creatorName>
      <givenName>Savci Rahman</givenName>
      <familyName>Argun</familyName>
      <affiliation>Kirsehir Ahi Evran Univ, Dept Math, Kirsehir, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Calci, Tugce Pekacar</creatorName>
      <givenName>Tugce Pekacar</givenName>
      <familyName>Calci</familyName>
      <affiliation>Ankara Univ, Dept Math, Ankara, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Halicioglu, Sait</creatorName>
      <givenName>Sait</givenName>
      <familyName>Halicioglu</familyName>
      <affiliation>Ankara Univ, Dept Math, Ankara, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Harmanci, Abdullah</creatorName>
      <givenName>Abdullah</givenName>
      <familyName>Harmanci</familyName>
      <affiliation>Hacettepe Univ, Dept Math, Ankara, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Ungor, Burcu</creatorName>
      <givenName>Burcu</givenName>
      <familyName>Ungor</familyName>
      <affiliation>Ankara Univ, Dept Math, Ankara, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Lattice Properties Of The Minus Order On Regular Modules</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/256215</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1216/rmj.2022.52.15</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">The minus order on sets of matrices over a field and bounded linear operators on arbitrary Hilbert spaces has been an area of intense research. Recently, this partial order has been studied on regular modules by the present authors. We investigate lattice properties of the minus order on regular modules and present various characterizations of the minus order as an application.</description>
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