Publikation: A Baer-Krull theorem for quasi-ordered groups
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2018
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Order. 2018, 35(2), pp. 283-291. ISSN 0167-8094. eISSN 1572-9273. Available under: doi: 10.1007/s11083-017-9432-5
Zusammenfassung
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.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
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Valuations, Ordered groups, Quasi-orders, Baer-Krull theorem
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KUHLMANN, Salma, Gabriel LEHÉRICY, 2018. A Baer-Krull theorem for quasi-ordered groups. In: Order. 2018, 35(2), pp. 283-291. ISSN 0167-8094. eISSN 1572-9273. Available under: doi: 10.1007/s11083-017-9432-5BibTex
@article{Kuhlmann2018-07BaerK-40713,
year={2018},
doi={10.1007/s11083-017-9432-5},
title={A Baer-Krull theorem for quasi-ordered groups},
number={2},
volume={35},
issn={0167-8094},
journal={Order},
pages={283--291},
author={Kuhlmann, Salma and Lehéricy, Gabriel}
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