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The uniform companion for large differential fields of characteristic 0 |
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| Authors: | Marcus Tressl |
| Institution: | NWF-I Mathematik, 93040 Universität Regensburg, Germany |
| Abstract: | We show that there is a theory UC of differential fields (in several commuting derivatives) of characteristic  , 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. |
| Keywords: | Differential algebra differentially closed large field model theory model complete |
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