On logical characterization of henselianity

Details On logical characterization of henselianity On logical characterization of henselianity

2007-05-03

arxiv.org/abs/0705.0395v2

Mathematics

Logic

Minor corrections

Scientific paper

We give some sufficient conditions under which any valued field that admits quantifier elimination in the Macintyre language is henselian. Then, without extra assumptions, we prove that if a valued field of characteristic $(0,0)$ has a $\Z$-group as its value group and admits quantifier elimination in the main sort of the Denef-Pas style language $\mathcal{L}_{RRP}$ then it is henselian. In fact the proof of this suggests that a quite large class of Denef-Pas style languages is natural with respect to henselianity.

Affiliated with

Also associated with

No associations

Rating

On logical characterization of henselianity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On logical characterization of henselianity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On logical characterization of henselianity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-496668