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1 results

  • THE MODEL COMPANION OF DIFFERENTIAL FIELDS WITH FREE OPERATORS

  • OMAR LEÓN SÁNCHEZ, RAHIM MOOSA
  • Journal:
    The Journal of Symbolic Logic / Volume 81 / Issue 2 / June 2016
    Published online by Cambridge University Press:
    29 June 2016, pp. 493-509
    Print publication:
    June 2016

  • 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.