Generic derivations, differential largeness, and NTP2
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 NTP2 algebraically bounded structure remains NTP2 after expanding by a generic derivation.
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