15 citations · 173 across the 43 of their papers we have counts for
13 papers · 1 filter
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…
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…
On Rayner structures
Lothar Sebastian Krapp, Salma Kuhlmann, Michele Serra
In this note, we study substructures of generalised power series fields induced by families of well-ordered subsets of the group of exponents. We characterise the set-theoretic and…
The differential rank of a differential-valued field
Salma Kuhlmann, Gabriel Lehéricy
We develop a notion of (principal) differential rank for differential-valued fields, in analog of the exponential rank and of the difference rank. We give several characterizations…
Compatibility of quasi-orderings and valuations; A Baer-Krull Theorem for quasi-ordered Rings
Salma Kuhlmann, Simon Müller
In his work of 1969, Merle E. Manis introduced valuations on commutative rings. Recently, the class of totally quasi-ordered rings was developped by the second author. In the prese…
A Baer-Krull theorem for quasi-ordered groups
Salma Kuhlmann, Gabriel Lehéricy
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…