Mathematische Annalen

, Volume 207, Issue 2, pp 87–97 | Cite as

A nullstellensatz and a positivstellensatz in semialgebraic geometry

  • Gilbert Stengle


Rational Representation Polynomial Inequality Real Algebraic Variety Real Closed Field Consequence Inequality 
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  1. 1.
    Dubois, D. W.: A nullstellensatz for ordered fields. Ark. Mat.8, 111–114 (1969)CrossRefMathSciNetGoogle Scholar
  2. 2.
    Stoer, J., Witzgall, C.: Convexity and optimization in finite dimensions. Chap. 1. Berlin-Heidelberg-New York: Springer 1970Google Scholar
  3. 3.
    Jacobsen, N.: Lectures in abstract algebra, III. pp. 251–254, 269–294. Princeton-London-Toronto: Van Nostrand Co. 1964CrossRefGoogle Scholar
  4. 4.
    Lang, S.: Algebra, p. 278. Reading: Addison-Wesley, Publ. Co. Inc. 1965zbMATHGoogle Scholar
  5. 5.
    Robinson, A.: Introduction to model theory and to the metamathematics of algebra. pp. 214–224. Amsterdam: North Holland Publ. Comp. 1963zbMATHGoogle Scholar
  6. 6.
    Motzkin, T. S.: Algebraic inequalities. In “Inequalities”, (O. Shisha ed), Vol. 1, pp. 199–203. New York: Academic Press 1967Google Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • Gilbert Stengle
    • 1
  1. 1.Department of MathematicsLehigh UniversityBethlehemUSA

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