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Square root meadows (0901.4664v1)
Published 29 Jan 2009 in cs.LO
Abstract: 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.