Uniformly defining valuation rings in Henselian valued fields with finite or pseudo-finite residue fields
We give a definition, in the ring language, of Z_p inside Q_p and of F_p[[t]] inside F_p((t)), which works uniformly for all $p$ and all finite field extensions of these fields, and in many other Henselian valued fields as well. The formula can be taken existential-universal in the ring language, an...
Main Authors: | , , , |
---|---|
Format: | Journal article |
Language: | English |
Published: |
2013
|