Displaying similar documents to “Linear and -linear betweenness spaces”

An -algebra approach to Artin’s solution of Hilbert’s Seventeenth Problem

Stuart A. Steinberg (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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Using lattice-ordered algebras it is shown that a totally ordered field which has a unique total order and is dense in its real closure has the property that each of its positive semidefinite rational functions is a sum of squares.

Topology on ordered fields

Yoshio Tanaka (2012)

Commentationes Mathematicae Universitatis Carolinae

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An ordered field is a field which has a linear order and the order topology by this order. For a subfield F of an ordered field, we give characterizations for F to be Dedekind-complete or Archimedean in terms of the order topology and the subspace topology on F .