Aspects quantitatifs de nullstellensätze et de positivstellensätze. nombres de pythagore

DOI10.1080/00927878908823749zbMath0668.14001OpenAlexW2054335534MaRDI QIDQ3820720

Odile Simon

Publication date: 1989

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878908823749

zbMATH Keywords

real closed fieldsum of squaresNullstellensätzePositivstellensätzePythagoras numbers

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Relevant commutative algebra (14A05) Real algebraic and real-analytic geometry (14Pxx)

Related Items (3)

Application signature et anneaux archimédiens ⋮ Algorithme de multiplicativité des sommes de carrés ⋮ Level and Pythagoras number of some geometric rings

Cites Work

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• An introduction to real algebra
• Pfister's theorem for varieties and reduced Witt rings
• Zur Darstellung definiter Funktionen als Summe von Quadraten. (To the representation of definite functions as the sum of squares)
• The theory of real places

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