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On Classifying Affine Barbilian Spaces

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Abstract

Corresponding to the algebraic representation of Affine Barbilian Spaces as affine geometries over unitary free modules we characterize algebraic properties of the underlying ring R respectively module MR respectively Barbilian Domain B ⊂ MR by geometric properties of the Affine Barbilian Space and vice versa.

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Authors and Affiliations

  1. Fachbereich 6 der Universität Oldenburg, Ammerländer Heerstr. 114-118, D 2900, Oldenburg

    Werner Leißner

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  1. Werner Leißner
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Dedicated to Professor RAFAEL ARTZY on occasion of his 75th birthday

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Leißner, W. On Classifying Affine Barbilian Spaces. Results. Math. 12, 157–165 (1987). https://doi.org/10.1007/BF03322386

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  • DOI: https://doi.org/10.1007/BF03322386

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