The model companion of differential fields with free operators

Research output: Contribution to journalArticle


A model companion is shown to exist for the theory of partial differential fields of characteristic zero equipped with free operators that commute with the derivations. The free operators here are those introduced in [R. Moosa and T. Scanlon, Model theory of fields with free operators in characteristic zero, Journal of Mathematical Logic 14(2), 2014]. The proof relies on a new lifting lemma in differential algebra: a differential version of Hensel’s Lemma for local finite algebras over differentially closed fields.

Bibliographical metadata

Original languageEnglish
Pages (from-to)493-509
JournalThe Journal of Symbolic Logic
Issue number2
StatePublished - 29 Jun 2016