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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