10 citations · 30 across the 18 of their papers we have counts for
4 papers · 1 filter
Henselianity in the language of rings
Sylvy Anscombe, Franziska Jahnke
We consider four properties of a field related to the existence of (definable) henselian valuations on and on elementarily equivalent fields, and study the implications bet…
Dp-minimal valued fields
Franziska Jahnke, Pierre Simon, Erik Walsberg
We show that dp-minimal valued fields are henselian and that a dp-minimal field admitting a definable type V topology is either real closed, algebraically closed or admits a non-tr…
A definable henselian valuation with high quantifier complexity
Immanuel Halupczok, Franziska Jahnke
We give an example of a parameter-free definable henselian valuation ring which is neither definable by a parameter-free -formula nor by a parameter-free $\exists\f…
Defining coarsenings of valuations
Franziska Jahnke, Jochen Koenigsmann
We study the question which henselian fields admit definable henselian valuations (with or without parameters). We show that every field which admits a henselian valuation with non…