English

Denseness results in the theory of algebraic fields

Logic 2023-03-08 v1

Abstract

We study when the property that a field is dense in its real and p-adic closures is elementary in the language of rings and deduce that all models of the theory of algebraic fields have this property.

Keywords

Cite

@article{arxiv.1909.12188,
  title  = {Denseness results in the theory of algebraic fields},
  author = {Sylvy Anscombe and Philip Dittmann and Arno Fehm},
  journal= {arXiv preprint arXiv:1909.12188},
  year   = {2023}
}

Comments

19 pages