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.

Authors

Antongiulio Fornasiero (ORCID: https://orcid.org/0000-0002-5689-8695)
Giuseppina Terzo (ORCID: https://orcid.org/0000-0001-8528-0600)

Institutions

University of Florence (IT)
University of Naples Federico II (IT)

Publication Details

Journal: Notre Dame Journal of Formal Logic
Published: 2025-09-29
DOI: https://doi.org/10.1215/00294527-2025-0014
Primary Topic: Advanced Topology and Set Theory
Type: article
Field-Weighted Citation Impact: 0.00

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article

Exponential Fields: Lack of Generic Derivations

Antongiulio Fornasiero, Giuseppina Terzo

Sep 29, 2025

Notre Dame Journal of Formal Logic

Advanced Topology and Set Theory

article

Exponential Fields: Lack of Generic Derivations

Antongiulio Fornasiero, Giuseppina Terzo

September 29, 2025article en

Abstract

Notre Dame Journal of Formal LogicVol. 66(4)

University of Florence (IT), University of Naples Federico II (IT)

Openalex Percentile: Top 68%

Advanced Topology and Set Theory

DOI Source OpenAlex

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Exponential Fields: Lack of Generic Derivations — Antongiulio Fornasiero, Giuseppina Terzo · Notre Dame Journal of Formal Logic (2025) | TGRS Research Map | TGRS