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...

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Bibliographic Details
Main Authors: Cluckers, R, Derakhshan, J, Leenknegt, E, Macintyre, A
Format: Journal article
Language:English
Published: 2013