English

Strongly minimal reducts of valued fields

Logic 2015-09-11 v2

Abstract

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

Keywords

Cite

@article{arxiv.1408.3298,
  title  = {Strongly minimal reducts of valued fields},
  author = {Piotr Kowalski and Serge Randriambololona},
  journal= {arXiv preprint arXiv:1408.3298},
  year   = {2015}
}