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arXiv · 1701.05827

A Baer-Krull theorem for quasi-ordered groups

Salma Kuhlmann·Gabriel Lehéricy
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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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Salma Kuhlmann, Gabriel Lehéricy. 2017-06-28. A Baer-Krull theorem for quasi-ordered groups. https://doi.org/10.1007/s11083-017-9432-5

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