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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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An <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ℓ</mml:mi></mml:math>-algebra approach to Artin’s solution of Hilbert’s Seventeenth Problem

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