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EXISTENTIAL ∅-DEFINABILITY OF HENSELIAN VALUATION RINGS

Published online by Cambridge University Press:  13 March 2015

ARNO FEHM
ARNO FEHM*
Affiliation:
FACHBEREICH MATHEMATIK UND STATISTIK, UNIVERSITY OF KONSTANZ, 78457 KONSTANZ, GERMANYE-mail:arno.fehm@uni-konstanz.de
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Abstract

In [1], Anscombe and Koenigsmann give an existential ∅-definition of the ring of formal power series F[[t]] in its quotient field in the case where F is finite. We extend their method in several directions to give general definability results for henselian valued fields with finite or pseudo-algebraically closed residue fields.

Keywords

Henselian valuationexistential definabilityfinite fieldspseudo-algebraically closed fields
Type
Articles
Information
The Journal of Symbolic Logic , Volume 80 , Issue 1 , March 2015 , pp. 301 - 307
Copyright
Copyright © The Association for Symbolic Logic 2015 

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References

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