English

Model Theory of Adeles I

Logic 2016-04-01 v1

Abstract

We study the model theory of the ring of adeles of a number field. We obtain quantifier elimination results in the language of rings and some enrichments. We given consequences for definable subsets of the adeles, and their measures.

Keywords

Cite

@article{arxiv.1603.09698,
  title  = {Model Theory of Adeles I},
  author = {Jamshid Derakhshan and Angus Macintyre},
  journal= {arXiv preprint arXiv:1603.09698},
  year   = {2016}
}
R2 v1 2026-06-22T13:22:35.843Z