Positivstellensätze for semirings

نویسندگان

چکیده

Abstract In this paper we develop a number of results and notions concerning Positivstellensätze for semirings (preprimes) commutative unital real algebras. First reduce the Archimedean Positivstellensatz to corresponding result quadratic modules. Various applications are investigated. A general with denominators is proved filtered algebras semirings. As an application derive denominator-free cylindrical extension algebra semiring. large illustrating examples given.

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ژورنال

عنوان ژورنال: Mathematische Annalen

سال: 2023

ISSN: ['1432-1807', '0025-5831']

DOI: https://doi.org/10.1007/s00208-023-02656-0