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Preprint Number 1889

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1889. Philip Dittmann and Arno Fehm
Non-definability of rings of integers in most algebraic fields
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Submission date: 29 November 2020

Abstract:

We show that the set of algebraic extensions F of ℚ in which ℤ or the ring of integers O_F are definable is meager in the set of all algebraic extensions.

Mathematics Subject Classification: 11U09, 12L12

Keywords and phrases:

Full text arXiv 2011.14367: pdf, ps.

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