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
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 |
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Faculty \ School: | Faculty of Science > School of Mathematics |
UEA Research Groups: | Faculty of Science > Research Groups > Logic |
Depositing User: | Jonathan Kirby |
Date Deposited: | 27 Jan 2013 21:09 |
Last Modified: | 26 Mar 2023 06:30 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/39548 |
DOI: | 10.1017/S1474748012000047 |
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