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

Michael F. Singer
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Abstract

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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Michael F. Singer. 2006-02-02. Model Theory of Partial Differential Fields: From Commuting to Noncommuting Derivations. https://arxiv.org/abs/math/0602034

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