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

Jamshid Derakhshan; Angus Macintyre

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arXiv · 1306.1794

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

Jamshid Derakhshan·Angus Macintyre

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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.

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BibTeX RIS

Jamshid Derakhshan, Angus Macintyre. 2013-06-07. Some supplements to Feferman-Vaught related to the model theory of adeles. https://arxiv.org/abs/1306.1794

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