English

Exponential Fields: Lack of Generic Derivations

Logic 2024-07-23 v1

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.

Keywords

Cite

@article{arxiv.2407.14840,
  title  = {Exponential Fields: Lack of Generic Derivations},
  author = {Fornasiero Antongiulio and Giuseppina Terzo},
  journal= {arXiv preprint arXiv:2407.14840},
  year   = {2024}
}
R2 v1 2026-06-28T17:48:14.785Z