A Baer-Krull theorem for quasi-ordered groups

Kuhlmann, Salma; Lehéricy, Gabriel

A Baer-Krull theorem for quasi-ordered groups

Dateien

Kuhlmann_2-1pisj4or0mdtc4.pdfGröße: 98.34 KBDownloads: 194

Datum

2018

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Valuations, Ordered groups, Quasi-orders, Baer-Krull theorem

Zitieren

ISO 690

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/s11083-017-9432-5

BibTex

@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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