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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Official URL: http://www.ams.org/journals/tran/2005-357-10/home....

## 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 |
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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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