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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{
  "URL": "https://aperta.ulakbim.gov.tr/record/88995", 
  "abstract": "We classify all embeddings theta : PG(n,K) -> PG(d, F), with d >= n(n+3)/2 and K, F skew fields with vertical bar K vertical bar > 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) -> 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.", 
  "author": [
    {
      "family": "Akca", 
      "given": " Z."
    }, 
    {
      "family": "Bayar", 
      "given": " A."
    }, 
    {
      "family": "Ekmekci", 
      "given": " S."
    }, 
    {
      "family": "Kaya", 
      "given": " R."
    }, 
    {
      "family": "Thas", 
      "given": " J. A."
    }, 
    {
      "family": "Van Maldeghern", 
      "given": " H."
    }
  ], 
  "container_title": "ARS COMBINATORIA", 
  "id": "88995", 
  "issued": {
    "date-parts": [
      [
        2012, 
        1, 
        1
      ]
    ]
  }, 
  "page": "65-80", 
  "title": "Generalized Veronesean embeddings of projective spaces, Part II. The lax case.", 
  "type": "article-journal", 
  "volume": "103"
}