A Baer-Krull theorem for quasi-ordered groups

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.

References in corpus (1)

• The valuation difference rank of a quasi-ordered difference field

Cited by in corpus (2)

• The differential rank of a differential-valued field
• Compatibility of quasi-orderings and valuations; A Baer-Krull Theorem for quasi-ordered Rings