15 citations · 173 across the 43 of their papers we have counts for
Showing 2017 · math.ACShow all
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math.AC2017★ 1 cited
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…
math.AC2017
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…
math.AC2017★ 2 cited
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…