15 citations · 173 across the 43 of their papers we have counts for
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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…
Definable Valuations induced by multiplicative subgroups and NIP Fields
Katharina Dupont, Assaf Hasson, Salma Kuhlmann
We study the algebraic implications of the non-independence property (NIP) and variants thereof (dp-minimality) on infinite fields, motivated by the conjecture that all such fields…
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…