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Resumen de A real nullstellensatz and positivstellensatz for the semipolynomials over an ordered field

Laureano González Vega Árbol académico, Henri Lombardi

  • Let K be an ordered field and R its real closure. A semipolynomial will be defined as a function from Rn to R obtained by composition of polynomial functions and the absolute value. Every semipolynomial can be defined as a straight-line program containing only instructions with the following type: polynomial, absolute value, sup and inf and such a program will be called a semipolynomial expression. It will be proved, using the ordinary real positivstellensatz, a general real positivstellensatz concerning the semipolynomial expressions


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