Generic derivations, differential largeness, and NTP
arXiv:2508.13919 · doi:10.1016/j.apal.2026.103730
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 algebraically bounded structure remains NTP after expanding by a generic derivation.
7 pages