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2007.186: The uniform companion for large differential fields of characteristic 0

2007.186: Marcus Tressl (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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DOI: 10.1090/S0002-9947-05-03981-4

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 2000 > 03 Mathematical logic and foundations
MSC 2000 > 12 Field theory and polynomials
MSC 2000 > 13 Commutative rings and algebras
MIMS number:2007.186
Deposited By:Mrs Louise Healey
Deposited On:20 November 2007

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