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An -algebra approach to Artin’s solution of Hilbert’s Seventeenth Problem
Author(s) -
Stuart A. Steinberg
Publication year - 2010
Publication title -
annales de la faculté des sciences de toulouse mathématiques
Language(s) - French
Resource type - Journals
eISSN - 2258-7519
pISSN - 0240-2963
DOI - 10.5802/afst.1282
Subject(s) - mathematics , closure (psychology) , lattice (music) , combinatorics , order (exchange) , algebra over a field , discrete mathematics , pure mathematics , physics , finance , economics , acoustics , market economy
En utilisant les algebres reticulees, on montre qu'un corps totalement ordonne qui a un unique ordre total et qui est dense dans sa cloture reelle a la propriete que chacune des ses fonctions rationnelles positives semi-definies est une somme de carres.

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