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Integral and homothetic indecomposability with applications to irreducibility of polynomials

Koyuncu, Fatih; Ozbudak, Ferruh


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/41443</identifier>
  <creators>
    <creator>
      <creatorName>Koyuncu, Fatih</creatorName>
      <givenName>Fatih</givenName>
      <familyName>Koyuncu</familyName>
      <affiliation>Mugla Univ, Dept Math, TR-48170 Mugla, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Ozbudak, Ferruh</creatorName>
      <givenName>Ferruh</givenName>
      <familyName>Ozbudak</familyName>
    </creator>
  </creators>
  <titles>
    <title>Integral And Homothetic Indecomposability With Applications To Irreducibility Of Polynomials</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2009</publicationYear>
  <dates>
    <date dateType="Issued">2009-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/41443</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.3906/mat-0801-12</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">Being motivated by some methods for construction of homothetically indecomposable polytopes; we obtain new methods for construction of families of integrally indecomposable polytopes. As a result, we find new infinite families of absolutely irreducible multivariate polynomials over any field F. Moreover, we provide different proofs of some of the main results of Gao [2].</description>
  </descriptions>
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