Publikationsansicht

Differential Meadows (2008)

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.. Comment: 8 pages, 2 tables

Details der Publikation
Download http://arxiv.org/abs/0804.3336
Archiv arXiv (United States)
Keywords Mathematics - Rings and Algebras, Computer Science - Logic in Computer Science, Mathematics - Commutative Algebra, AC, RA
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