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arXiv · 0804.3336

Differential Meadows

Jan A. Bergstra·Alban Ponse
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Abstract

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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Jan A. Bergstra, Alban Ponse. 2008-04-21. Differential Meadows. https://arxiv.org/abs/0804.3336

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