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arxiv: 0901.4664 · v1 · submitted 2009-01-29 · 💻 cs.LO

Square root meadows

classification 💻 cs.LO
keywords expandednumberrationalrootsignsquaredenotediscuss
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Let Q_0 denote the rational numbers expanded to a meadow by totalizing inversion such that 0^{-1}=0. Q_0 can be expanded by a total sign function s that extracts the sign of a rational number. In this paper we discuss an extension Q_0(s ,\sqrt) of the signed rationals in which every number has a unique square root.

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