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math.LO2023
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…
math.LO2021
Ordered abelian groups that do not have elimination of imaginaries
Martina Liccardo
We investigate the property of elimination of imaginaries for some special cases of ordered abelian groups. We show that certain Hahn products of ordered abelian groups do not elim…