Exponential Fields: Lack of Generic Derivations

2024/07/20 by Antongiulio, Fornasiero, Terzo, Giuseppina · 1 citation
#03C10 (Primary) 12H05 #03C60 #12L12 (Secondary) #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2407.14840

Abstract

We investigate the existence of "generic derivations" in exponential fields. We show that exponential fields without additional compatibility conditions between derivation and exponentiation cannot support a generic derivation.

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• Generic derivations on algebraically bounded structures II Model theoretical properties

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