The algebraic numbers definable in various exponential fields

Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107, Macintyre, Angus and Onshuus, Alf (2012) The algebraic numbers definable in various exponential fields. Journal of the Institute of Mathematics of Jussieu, 11 (4). pp. 825-834. ISSN 1475-3030

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Abstract

We prove the following theorems. Theorem 1: for any E-field with cyclic kernel, in particular C or the Zilber fields, all real abelian algebraic numbers are pointwise definable. Theorem 2: for the Zilber fields, the only pointwise definable algebraic numbers are the real abelian numbers.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Logic (former - to 2024) Faculty of Science > Research Groups > Algebra, Logic & Number Theory
Depositing User:	Jonathan Kirby
Date Deposited:	27 Jan 2013 21:09
Last Modified:	07 Nov 2024 12:32
URI:	https://ueaeprints.uea.ac.uk/id/eprint/39548
DOI:	10.1017/S1474748012000047

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