Results 281 to 290 of about 94,120 (308)
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On the Theory of Cuts in Ordered Fields
Siberian Mathematical Journal, 2001The author studies and classifies cuts in ordered fields and proves a criterion of isomorphism for real closed ordered fields.
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1998
Let υ, η, ... be any algebraic integers whose domain of rationality is the field k l of degree m; then the set of all polynomials in ϑ, η, ... with rational integer coefficients is called an order 2. Addition, subtraction and multiplication of two numbers in an order produce again numbers in the order.
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Let υ, η, ... be any algebraic integers whose domain of rationality is the field k l of degree m; then the set of all polynomials in ϑ, η, ... with rational integer coefficients is called an order 2. Addition, subtraction and multiplication of two numbers in an order produce again numbers in the order.
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Ordered Fields, Real Closed Fields
1998The first three sections of this chapter briefly review Artin-Schreier theory: ordered fields, real fields, real closed fields and the real closure of an ordered field. The fourth section is devoted to the Tarski-Seidenberg principle, which is an essential tool for real algebraic geometry.
Jacek Bochnak +2 more
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Ordered fields dense in their real closure and definable convex valuations
Forum Mathematicum, 2021Lothar Sebastian Krapp, Salma Kuhlmann
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On Coincidence of Dimensions in Closed Ordered Differential Fields
Notre Dame Journal of Formal Logic, 2021Pantelis E Eleftheriou
exaly
Existentially closed ordered difference fields and rings
Mathematical Logic Quarterly, 2010Françoise Point
exaly