The uniform companion for large differential fields of characteristic 0

Tressl, Marcus (2005) The uniform companion for large differential fields of characteristic 0. Transactions of the American Mathematical Society, 357 (10). pp. 3933-3951. ISSN 1088-6850

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Abstract

We show that there is a theory UC of differential fields (in several commuting derivatives) of characteristic $0$, which serves as a model companion for every theory of large and differential fields extending a model complete theory of pure fields. As an application, we introduce differentially closed ordered fields, differentially closed p-adic fields and differentially closed pseudo-finite fields.

Item Type:	Article
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations MSC 2010, the AMS's Mathematics Subject Classification > 12 Field theory and polynomials MSC 2010, the AMS's Mathematics Subject Classification > 13 Commutative rings and algebras
Depositing User:	Ms Lucy van Russelt
Date Deposited:	20 Nov 2007
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/931

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