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math.RA2008★ 3 cited
Differential Meadows
Jan A. Bergstra, Alban Ponse
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 equ…
math.RA2008★ 35 cited
Cancellation Meadows: a Generic Basis Theorem and Some Applications
Jan A. Bergstra, Inge Bethke, Alban Ponse
Let Q_0 denote the rational numbers expanded to a "meadow", that is, after taking its zero-totalized form (0^{-1}=0) as the preferred interpretation. In this paper we consider "can…