STRONGLY MINIMAL REDUCTS OF VALUED FIELDS

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Kowalski P., Randriambololona S.

JOURNAL OF SYMBOLIC LOGIC, vol.81, no.2, pp.510-523, 2016 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 81 Issue: 2
• Publication Date: 2016
• Doi Number: 10.1017/jsl.2015.61
• Journal Name: JOURNAL OF SYMBOLIC LOGIC
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.510-523
• Open Archive Collection: AVESIS Open Access Collection
• Galatasaray University Affiliated: Yes

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.