The uniform companion for large differential fields of characteristic O

Tressl, Marcus (2005) The uniform companion for large differential fields of characteristic O. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 357 (10). pp. 3933-3951. ISSN 0002-9947,

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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
Uncontrolled Keywords: MODEL-THEORY; differential algebra; differentially closed; large field; model theory; model complete
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 21 Jun 2021 08:01
Last Modified: 21 Jun 2021 08:01
URI: https://pred.uni-regensburg.de/id/eprint/36834

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