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arXiv · 2011.14367

Non-definability of rings of integers in most algebraic fields

Philip Dittmann·Arno Fehm
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Abstract

We show that the set of algebraic extensions $F$ of $\mathbb{Q}$ in which $\mathbb{Z}$ or the ring of integers $\mathcal{O}_F$ are definable is meager in the set of all algebraic extensions.

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Philip Dittmann, Arno Fehm. 2020-11-29. Non-definability of rings of integers in most algebraic fields. https://doi.org/10.1215/00294527-2021-0029

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