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STRONGLY MINIMAL REDUCTS OF VALUED FIELDS

Published online by Cambridge University Press:  29 June 2016

PIOTR KOWALSKI  and
SERGE RANDRIAMBOLOLONA
PIOTR KOWALSKI
Affiliation:
INSTYTUT MATEMATYCZNY UNIWERSYTET WROCŁAWSKI WROCŁAW, POLANDE-mail: pkowa@math.uni.wroc.plURL: http://www.math.uni.wroc.pl/∼pkowa/
SERGE RANDRIAMBOLOLONA
Affiliation:
GALATASARAY ÜNIVERSITESI ISTANBUL, TURKEYE-mail: serge.randriambololona@math.cnrs.fr
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Abstract

We prove that if a strongly minimal nonlocally modular reduct of an algebraically closed valued field of characteristic 0 contains +, then this reduct is bi-interpretable with the underlying field.

Keywords

03C4512J25Strongly minimal structuresvalued fields
Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 2 , June 2016 , pp. 510 - 523
Copyright
Copyright © The Association for Symbolic Logic 2016 

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