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arxiv: 0806.2256 · v1 · submitted 2008-06-13 · 🧮 math.RA

The initial meadows

classification 🧮 math.RA
keywords initialmeadowsalgebracharacteristiccommutativedecidabledetermineemph
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A \emph{meadow} is a commutative ring with an inverse operator satisfying $0^{-1}=0$. We determine the initial algebra of the meadows of characteristic 0 and show that its word problem is decidable.

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