Titlebook: Ordered Algebraic Structures; The 1991 Conrad Conf J. Martinez,C. Holland Book 1993 Kluwer Academic Publishers 1993 Algebraic structure.Lat

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Piecewise polynomial functionss called the support of ., denoted by supp(.), and the real closure of qf(A/supp(.)) with respect to the total order specified by . is denoted by .(.). By definition, R(A) is a subring of the direct product of all the fields .(.) ([21, Chapter I). Although this construction is defined for arbitrary

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Functorial Rings of Quotients Iclosure under bounded inversion and countable .-inversion. For rings of real-valued functions, .. is the closure under inversion of functions without zeroes. ( A sequel will treat the analogue for the “complete” ring of (Johnson-Utumi) quotients.)

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