Generic derivations, differential largeness, and NTP$_2$
Logic
2026-02-10 v2
Abstract
We compare Fornasiero and Terzo's framework of generic derivations on algebraically bounded structures with Le\'on S\'anchez and Tressl's differentially large fields. We show in the case of a single derivation that genericity and differential largeness coincide for \'ez-fields, as introduced by Walsberg and Ye. We also show that an NTP algebraically bounded structure remains NTP after expanding by a generic derivation.
Cite
@article{arxiv.2508.13919,
title = {Generic derivations, differential largeness, and NTP$_2$},
author = {Elliot Kaplan and Christoph Kesting},
journal= {arXiv preprint arXiv:2508.13919},
year = {2026}
}
Comments
7 pages