Exponential Fields: Lack of Generic Derivations

Exponential Fields: Lack of Generic Derivations

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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Hauptverfasser: Antongiulio, Fornasiero, Terzo, Giuseppina
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Logic
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Zusammenfassung: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.
DOI:10.48550/arxiv.2407.14840