Publication Date:
30 June 2014
Journal:
Annals of Pure and Applied Logic
Last Updated:
2020-12-28T18:36:32.74+00:00
Issue:
11
Volume:
165
DOI:
10.1016/j.apal.2014.06.001
page:
1639-1679
abstract:
We give foundational results for the model theory of , the ring of finite adeles over a number field, construed as a restricted product of local fields. In contrast to Weispfenning we work in the language of ring theory, and various sortings interpretable therein. In particular we give a systematic treatment of the product valuation and the valuation monoid. Deeper results are given for the adelic version of Krasner's hyperfields, relating them to the Basarab–Kuhlmann formalism.
Symplectic id:
737395
Submitted to ORA:
Submitted
Publication Type:
Journal Article