Model Theory of Partial Differential Fields: From Commuting to   Noncommuting Derivations
  McGrail has shown the existence of a model completion for the universal theory of fields on which a finite number of commuting derivations act and, independently, Yaffe has shown the existence of a model completion for the univeral theory of fields on which a fixed Lie algebra acts as derivations. We show how to derive the second result from the first. 
Michael F. Singer