Exponential Fields: Lack of Generic Derivations

Fuente: arXiv
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Auteurs principaux: Antongiulio, Fornasiero, Terzo, Giuseppina
Format: Preprint
Publié: 2024
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author Antongiulio, Fornasiero
Terzo, Giuseppina
author_facet Antongiulio, Fornasiero
Terzo, Giuseppina
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_14840
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Exponential Fields: Lack of Generic Derivations
Antongiulio, Fornasiero
Terzo, Giuseppina
Logic
03C60, 03C10 (Primary) 12H05, 12L12 (Secondary)
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.
title Exponential Fields: Lack of Generic Derivations
topic Logic
03C60, 03C10 (Primary) 12H05, 12L12 (Secondary)
url https://arxiv.org/abs/2407.14840