| MODEL THEORY OF PARTIAL DIFFERENTIAL FIELDS: FROM COMMUTING TO NONCOMMUTING DERIVATIONS (2008) | |||||||||||||||
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| Abstract. McGrail (2000) has shown the existence of a model completion for the universal theory of fields on which a finite number of commuting derivations act and, independently, Yaffe (2001) has shown the existence of a model completion for the univeral theory of fields on which a fixed Lie algebra acts as derivations. We show how to derive the second result from the first. 1. | |||||||||||||||
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