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Differential Meadows

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 نشر من قبل Alban Ponse
 تاريخ النشر 2008
  مجال البحث الهندسة المعلوماتية
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A meadow is a zero totalised field (0^{-1}=0), and a cancellation meadow is a meadow without proper zero divisors. In this paper we consider differential meadows, i.e., meadows equipped with differentiation operators. We give an equational axiomatization of these operators and thus obtain a finite basis for differential cancellation meadows. Using the Zariski topology we prove the existence of a differential cancellation meadow.

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