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- W4320486511 abstract "In this paper we develop a number of results and notions concerning Positivstellensatze for semirings (preprimes) of commutative unital real algebras. First we reduce the Archimedean Positivstellensatz for semirings to the corresponding result for quadratic modules. Various applications of the Archimedean Positivstellensatz for semirings are investigated. A general Positivstellensatz with denominators is proved for filtered algebras with semirings. As an application we derive a denominator-free Positivstellensatz for the cylindrical extension of an algebra with Archimedean semiring. A large number of illustrating examples are given." @default.
- W4320486511 created "2023-02-14" @default.
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- W4320486511 date "2022-07-06" @default.
- W4320486511 modified "2023-09-23" @default.
- W4320486511 title "Positivstellensatze for Semirings" @default.
- W4320486511 doi "https://doi.org/10.48550/arxiv.2207.02748" @default.
- W4320486511 hasPublicationYear "2022" @default.
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