## 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

Full text available as:

PDF - Registered users only - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 288 Kb |

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 |

Download Statistics: last 4 weeks

Repository Staff Only: edit this item