Model Theory of Partial Differential Fields: From Commuting to Noncommuting Derivations
Michael F. Singer
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.
Create a lesson
Related papers
Logarithmic--exponential preparation in sharply o-minimal structures
Gal Binyamini, Oded Carmon, Dmitry Novikov
Stoic Logic and Natural Term Logic
Clarence Lewis Protin
From raw Solvability Complexity Index proofs to Weihrauch degrees
Christopher Sorg
Existence of bases implies the axiom of choice, a foundation-free proof
Gabriel Fernandes, Renan Maneli Mezabarba, Vinicius de Oliveira Rodrigues
Every countable meet-continuous lattice is Scott sober
Xiaoquan Xu, Wei Ji
A minimal type of Morley rank ω in a partial differential field
Piotr Kowalski