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Fields with several commuting derivations

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 نشر من قبل David Pierce
 تاريخ النشر 2013
  مجال البحث
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 تأليف David Pierce




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For every natural number $m$, the existentially closed models of the theory of fields with $m$ commuting derivations can be given a first-order geometric characterization in several ways. In particular, the theory of these differential fields has a model-companion. The axioms are that certain differential varieties determined by certain ordinary varieties are nonempty. There is no restriction on the characteristic of the underlying field.



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