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Publications Influence

Ordered exponential fields

- S. Kuhlmann
- Mathematics
- 7 December 1999

Preliminaries on valued and ordered modules Non-archimedean exponential fields Valuation theoretic interpretation of the growth and Taylor axioms The exponential rank Construction of exponential… Expand

66 6

Positivity, sums of squares and the multi-dimensional moment problem

- S. Kuhlmann, M. Marshall
- Mathematics
- 8 July 2002

Let K be the basic closed semi-algebraic set in R n defined by some finite set of polynomials S and T, the preordering generated by S. For K compact, f a polynomial in n variables nonnegative on K… Expand

95 4- PDF

Embedding ordered fields in formal power series fields

- F. Kuhlmann, S. Kuhlmann, M. Marshall, M. Zekavat
- Mathematics
- 9 April 2002

In the paper it is shown how an embedding of an ordered field F into a formal power series field can be extended canonically to an embedding of any simple extension F(y) of F. Properties of the… Expand

21 2- PDF

Ax-Kochen-Ershov principles for valued and ordered vector spaces

- F. Kuhlmann, S. Kuhlmann
- Mathematics
- 1997

We study extensions of valued vector spaces with variable base field, introducing the notion of disjointness and valuation disjointness in this setting. We apply the results to determine the model… Expand

6 2

Sums of squares and moment problems in equivariant situations

- J. Cimprič, S. Kuhlmann, Claus Scheiderer
- Mathematics
- 1 August 2008

We begin a systematic study of positivity and moment problems in an equivariant setting. Given a reductive group G over R acting on an affine R-variety V, we consider the induced dual action on the… Expand

30 1- PDF

On the structure of nonarchimedean exponential fields I

- S. Kuhlmann
- Mathematics, Computer Science
- Arch. Math. Log.
- 1 June 1995

TLDR

19 1

Isomorphisms of lexicographic powers of the reals

- S. Kuhlmann
- Mathematics
- 1 September 1995

Given a chain F, we consider the lexicographic order llr. If A is a chain such that Rr IRA, we examine the question of whether necessarily F A. Under an additional hypothesis, we show that F and A… Expand

12 1- PDF

On ηα-groups and fields

- N. L. Alling, S. Kuhlmann
- Mathematics
- 1 March 1994

Let κ:=ℵα. The following are known: two ηα-sets of power κ are isomorphic. Let α>0. Two ordered divisible Abelian groups that are ηα-sets of power κ are isomorphic, two real closed fields that are… Expand

7 1

Hardy type derivations on generalised series fields

- S. Kuhlmann, Mickael Matusinski
- Mathematics
- 12 March 2009

Abstract We consider the valued field K : = R ( ( Γ ) ) of generalised series (with real coefficients and monomials in a totally ordered multiplicative group Γ). We investigate how to endow K with a… Expand

10 1- PDF

Hardy type derivations on fields of exponential logarithmic series

- S. Kuhlmann, Mickael Matusinski
- Mathematics
- 5 October 2010

Abstract We consider the valued field K : = R ( ( Γ ) ) of formal series (with real coefficients and monomials in a totally ordered multiplicative group Γ). We investigate how to endow K with a… Expand

13 1- PDF

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