A Baer-Krull theorem for quasi-ordered groups

Autor: Kuhlmann, Salma, Lehéricy, Gabriel
Rok vydání: 2017
Předmět:
Zdroj: Order- A Journal on the Theory of Ordered Sets and its Applications (2017)
Druh dokumentu: Working Paper
DOI: 10.1007/s11083-017-9432-5
Popis: 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.
Databáze: arXiv