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Model Theory of Partial Differential Fields: From Commuting to Noncommuting Derivations (2006)

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.. Comment: 6 pages

Publication details
Download http://arxiv.org/abs/math/0602034
Repository arXiv (United States)
Keywords Mathematics - Logic, 03C10, 35A05, 12H05
Type text