Model Theory of Partial Differential Fields: From Commuting to Noncommuting Derivations

Details Model Theory of Partial Differential Fields: From Commuting to Noncommuting Derivations Model Theory of Partial Differential Fields: From Commuting to Noncommuting Derivations

2006-02-02

arxiv.org/abs/math/0602034v1

Mathematics

Logic

6 pages

Scientific paper

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.

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