Exponential algebraicity in exponential fields

Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107 (2010) Exponential algebraicity in exponential fields. Bulletin of the London Mathematical Society, 42 (5). pp. 879-890. ISSN 0024-6093

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Abstract

The exponential algebraic closure operator in an exponential field is always a pregeometry and its dimension function satisfies a weak Schanuel property. It follows that there are at most countably many essential counterexamples to Schanuel's conjecture.

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, Number Theory, Logic, and Representations (ANTLR)
Depositing User: Users 2731 not found.
Date Deposited: 10 Oct 2011 13:19
Last Modified: 19 Dec 2024 00:41
URI: https://ueaeprints.uea.ac.uk/id/eprint/34967
DOI: 10.1112/blms/bdq044

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