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Construction of translations in weak affine geometries with regards to weak affine relatives (Q1193237)

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scientific article; zbMATH DE number 62176
Language Label Description Also known as
English
Construction of translations in weak affine geometries with regards to weak affine relatives
scientific article; zbMATH DE number 62176

    Statements

    title
    Construction of translations in weak affine geometries with regards to weak affine relatives (English)
    0 references
    author
    Andreas Kopp
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    publication date
    27 September 1992
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    review text
    \textit{H. J. Arnold} [Result. Math. 12, 1-26 (1987; Zbl 0629.51004)] gives an algebraic representation of weak affine geometries introduced by \textit{E. Sperner} [J. Reine Angew. Math. 204, 205-215 (1960; Zbl 0095.346)] using weak affine relatives. In this article the author investigates this representation with regards to translations of weak affine geometries. He determines the conditions on a weak affine relative such that the translations of the corresponding weak affine geometry are transitive on the points.
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    zbMATH Keywords
    weak affine relative
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    weak affine geometry
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    Identifiers

    DOI
    10.1007/BF03323093
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    zbMATH DE Number
    62176
    0 references
     
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