Submission date: 31 October 2019

Abstract:

We study elementary equivalence of adele rings and decidability for adele rings of general number fields. We prove that elementary equivalence of adele rings implies isomorphism of the adele rings.

Mathematics Subject Classification: 03C10, 11M06, 11M41, 11U09, 11U05, 11U07, 11S40, 12J12, 12J25, 12J10

Keywords and phrases:

Full text arXiv 1910.14471: pdf, ps.