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arXiv · 1408.4234

The elementary theory of large fields of totally S-adic numbers

Arno Fehm
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Abstract

We analyze the elementary theory of certain fields of totally S-adic algebraic numbers that were introduced and studied by Geyer-Jarden and Haran-Jarden-Pop. In particular, we provide an axiomatization of these theories and prove their decidability, thereby giving a common generalization of classical decidability results of Jarden-Kiehne, Fried-Haran-Völklein and Ershov.

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Arno Fehm. 2014-08-19. The elementary theory of large fields of totally S-adic numbers. https://doi.org/10.1017/s1474748015000134

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