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arXiv · 2508.13919

Generic derivations, differential largeness, and NTP$_2$

Elliot Kaplan·Christoph Kesting
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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$_2$ algebraically bounded structure remains NTP$_2$ after expanding by a generic derivation.

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BibTeXRIS

Elliot Kaplan, Christoph Kesting. 2025-08-19. Generic derivations, differential largeness, and NTP$_2$. https://doi.org/10.1016/j.apal.2026.103730

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