A differential analog of a theorem of Chevalley

Mathematics – Algebraic Geometry

Scientific paper

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6 pages, 1 comment

Scientific paper

In this note a proof of a differential analog of Chevalley's theorem \cite{C}
on homomorphism extensions is given. An immediate corollary is a condition of
finitenes of extensions of differential algebras and several equivalent
definitions of a differentially closed field, including Kolchin's
Nullstellensatz.

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