Geometric Axioms for Differentially Closed Fields with Several Commuting Derivations

Details Geometric Axioms for Differentially Closed Fields with Several Commuting Derivations Geometric Axioms for Differentially Closed Fields with Several Commuting Derivations

2011-03-03

arxiv.org/abs/1103.0730v1

Mathematics

Logic

Scientific paper

A geometric first-order axiomatization of differentially closed fields of
characteristic zero with several commuting derivations, in the spirit of
Pierce-Pillay, is formulated in terms of a relative notion of prolongation for
Kolchin-closed sets.

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