Submission date: 26 September 2019

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.

Mathematics Subject Classification: 03C60, 12L12, 12J12, 12J15

Keywords and phrases:

Full text arXiv 1909.12188: pdf, ps.