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A Baer-Krull Theorem for Quasi-Ordered Groups

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Abstract

We give group analogs of two important theorems of real algebra concerning convex valuations, one of which is the Baer-Krull theorem. We do this by using quasi-orders, which gives a uniform approach to valued and ordered groups. We also recover the classical Baer-Krull theorem from its group analog.

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Authors and Affiliations

  1. Universitat Konstanz, Konstanz, Germany

    Salma Kuhlmann & Gabriel Lehéricy

Authors
  1. Salma Kuhlmann
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  2. Gabriel Lehéricy
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Correspondence to Gabriel Lehéricy.

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Kuhlmann, S., Lehéricy, G. A Baer-Krull Theorem for Quasi-Ordered Groups. Order 35, 283–291 (2018). https://doi.org/10.1007/s11083-017-9432-5

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  • DOI: https://doi.org/10.1007/s11083-017-9432-5

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