Submission date: 8 August 2014

Abstract:

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, Preprint 2013]. 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.

Mathematics Subject Classification: 03C60, 12H05, 12L12

Keywords and phrases:

Full text arXiv 1408.1941: pdf, ps.