Generic derivations, differential largeness, and NTP2
Abstract
We compare Fornasiero and Terzo's framework of generic derivations on algebraically bounded structures with León Sánchez and Tressl's differentially large fields. We show in the case of a single derivation that genericity and differential largeness coincide for éz-fields, as introduced by Walsberg and Ye. We also show that an NTP 2 algebraically bounded structure remains NTP 2 after expanding by a generic derivation.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Numerical methods for differential equations
Polynomial and algebraic computation
Publication details
- Journal / source
- Annals of Pure and Applied Logic
- Publisher
- Elsevier BV
- Volume
- 177
- Issue
- 6
- Pages
- 103730–103730
- Publication date
- 2 February 2026
- Language
- EN