1 citations · 1 across the 5 of their papers we have counts for
5 papers
Stably Embedded Pairs of Ordered Abelian Groups
Martin Hils, Martina Liccardo, Pierre Touchard
We investigate when an ordered abelian group is stably embedded in a given elementary extension . We focus on a large class of ordered groups which includes maximal ordered…
On the hyperfields associated to valued fields
Alessandro Linzi, Pierre Touchard
One can associate to a valued field an inverse system of valued hyperfields in a natural way. We investigate when, conversely, such a system arise from…
On Model Theory of Valued Vector Spaces
Pierre Touchard
In analogy to valued fields, we study model-theoretic properties of valued vector spaces with variable base field by proving transfer principles down to the skeleton and down to th…
Stably embedded submodels of Henselian valued fields
Pierre Touchard
We show a transfer principle for the property that all types realised in a given elementary extension are definable. It can be written as follows: a Henselian valued fields is stab…
Burden in Henselian Valued Fields
Pierre Touchard
In the spirit of the Ax-Kochen-Ershov principle, we show that in certain cases the burden of a Henselian valued field can be computed in terms of the burden of its residue field an…