Model Theory of Partial Differential Fields: from Commuting to Noncommuting Derivations

نویسنده

  • MICHAEL F. SINGER
چکیده

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.

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تاریخ انتشار 2006