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Exponential Fields: Lack of Generic Derivations
Notre Dame Journal of Formal Logic 66 (4):513-519 (2025)
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.Other Versions
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References found in this work
Generic Derivations on Algebraically Bounded Structures.Antongiulio Fornasiero & Giuseppina Terzo - forthcoming - Journal of Symbolic Logic:1-27.
Pseudo-exponentiation on algebraically closed fields of characteristic zero.Boris Zilber - 2005 - Annals of Pure and Applied Logic 132 (1):67-95.
Generic derivations on o-minimal structures.Antongiulio Fornasiero & Elliot Kaplan - 2020 - Journal of Mathematical Logic 21 (2):2150007.
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