1 Ocak 2012 Dergi makalesi Açık Erişim

Akca, Z.; Bayar, A.; Ekmekci, S.; Kaya, R.; Thas, J. A.; Van Maldeghern, H.

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/88995</identifier>
  <creators>
    <creator>
      <creatorName>Akca, Z.</creatorName>
      <givenName>Z.</givenName>
      <familyName>Akca</familyName>
      <affiliation>Eskisehir Osmangazi Univ, Dept Math &amp; Comp Sci, TR-26480 Eskisehir, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Bayar, A.</creatorName>
      <givenName>A.</givenName>
      <familyName>Bayar</familyName>
      <affiliation>Eskisehir Osmangazi Univ, Dept Math &amp; Comp Sci, TR-26480 Eskisehir, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Ekmekci, S.</creatorName>
      <givenName>S.</givenName>
      <familyName>Ekmekci</familyName>
      <affiliation>Eskisehir Osmangazi Univ, Dept Math &amp; Comp Sci, TR-26480 Eskisehir, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Kaya, R.</creatorName>
      <givenName>R.</givenName>
      <familyName>Kaya</familyName>
      <affiliation>Eskisehir Osmangazi Univ, Dept Math &amp; Comp Sci, TR-26480 Eskisehir, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Thas, J. A.</creatorName>
      <givenName>J. A.</givenName>
      <familyName>Thas</familyName>
      <affiliation>Univ Ghent, Dept Math, B-9000 Ghent, Belgium</affiliation>
    </creator>
    <creator>
      <creatorName>Van Maldeghern, H.</creatorName>
      <givenName>H.</givenName>
      <familyName>Van Maldeghern</familyName>
      <affiliation>Univ Ghent, Dept Math, B-9000 Ghent, Belgium</affiliation>
    </creator>
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  <titles>
    <title>Generalized Veronesean Embeddings Of Projective Spaces, Part Ii. The Lax Case.</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/88995</alternateIdentifier>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.81043/aperta.88994</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>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">We classify all embeddings theta : PG(n,K) -&amp;gt; PG(d, F), with d &amp;gt;= n(n+3)/2 and K, F skew fields with vertical bar K vertical bar &amp;gt; 2, such that 0 maps the set of points of each line of PG(n,K) to a set of coplanar points of PG(d, F), and such that the image of theta generates PG(d, F). It turns out that d = 1/2n(n + 3) and all examples "essentially" arise from a similar "full" embedding theta' : PG(n, K) -&amp;gt; PG(d,K) by identifying K with subfields of IF and embedding PG(d, K) into PG(d, F) by several ordinary field extensions. These "full" embeddings satisfy one more property and are classified in [5]. They relate to the quadric Veronesean of PG(n, K) in PG(d, K) and its projections from subspaces of PG(d, K) generated by sub-Veroneseans (the point sets corresponding to subspaces of PG(n,K)), if K is commutative, and to a degenerate analogue of this, if K is noncommutative.</description>
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