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A system of axioms for projective Hjelmslev spaces

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Abstract

An axiomatic description of projective Hjelmslev spaces of arbitrary dimension is given. Every plane of a projective Hjelmslev space is a projective Hjelmslev plane in the sense of KLINGENBERG. Projective Hjelmslev spaces are isomorphic to spaces over Hjelmslev rings.

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Authors and Affiliations

  1. Mathematisches Institut, Technische Universität München, Arcisstr. 21, D-8000, München 2

    Alexander Kreuzer

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  1. Alexander Kreuzer
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Dedicated to Professor J. Joussen on the occasion of his 60. birthday

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Kreuzer, A. A system of axioms for projective Hjelmslev spaces. J Geom 40, 125–147 (1991). https://doi.org/10.1007/BF01225880

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  • DOI: https://doi.org/10.1007/BF01225880

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