arXiv:1306.1794 Abstract | arXiv Analytics

arXiv:1306.1794 [math.LO]Abstract References Reviews Resources

Some supplements to Feferman-Vaught related to the model theory of adeles

Published 2013-06-07Version 1

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.

Categories: math.LO

Subjects: 03C10, 03C40, 03C60, 03C95, 03C98, 11U05, 11U09, 12L05, 12L12, 12E50

Keywords: model theory, feferman-vaught, supplements, foundational results, finite adeles

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