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Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I

Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I

Real algebra is usually thought of as the study of certain kinds of preorders on fields and rings. Among its core themes are the separation theorems known as Positivstellens\"atze. However, there is a nascent subfield of real algebra which studies preordered semirings and semifields, which is motivated by applications to …