A real nullstellensatz and positivstellensatz for the semipolynomials over an ordered field
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Autores: Laureano González Vega
, Henri Lombardi
- Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 7, Nº 1, 1992, págs. 53-58
- Idioma: español
- Enlaces
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Resumen
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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