15 citations · 173 across the 43 of their papers we have counts for
44 papers
Generalised power series determined by linear recurrence relations
Lothar Sebastian Krapp, Salma Kuhlmann, Michele Serra
In 1882, Kronecker established that a given univariate formal Laurent series over a field can be expressed as a fraction of two univariate polynomials if and only if the coefficien…
An intrinsic characterization of moment functionals in the compact case
Maria Infusino, Salma Kuhlmann, Tobias Kuna +1
We consider the class of all linear functionals on a unital commutative real algebra that can be represented as an integral w.r.t. to a Radon measure with compact support i…
The automorphism group of a valued field of generalised formal power series
Salma Kuhlmann, Michele Serra
Let be a field, a totally ordered abelian group and the maximal field of generalised power series, endowed with the canonical valuation . We…
Definability of henselian valuations by conditions on the value group
Lothar Sebastian Krapp, Salma Kuhlmann, Moritz Link
Given a henselian valuation, we study its definability (with and without parameters) by examining conditions on the value group. We show that any henselian valuation whose value gr…
Ordered fields dense in their real closure and definable convex valuations
Lothar Sebastian Krapp, Salma Kuhlmann, Gabriel Lehéricy
In this paper, we undertake a systematic model and valuation theoretic study of the class of ordered fields which are dense in their real closure. We apply this study to determine…
Strongly NIP almost real closed fields
Lothar Sebastian Krapp, Salma Kuhlmann, Gabriel Lehéricy
The following conjecture is due to Shelah-Hasson: Any infinite strongly NIP field is either real closed, algebraically closed, or admits a non-trivial definable henselian valuation…