DEFINABILITY OF DERIVATIONS IN THE REDUCTS OF DIFFERENTIALLY CLOSED FIELDS

Let F = (F; +, ·, 0, 1, D) be a differentially closed field. We consider the question of definability of the derivation D in reducts of F of the form F R = (F; +, ·, 0, 1, P) P∈R where R is some collection of definable sets in F. We give examples and nonexamples and establish some criteria for defin...

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Veröffentlicht in:The Journal of symbolic logic 2017-12, Vol.82 (4), p.1252-1277
1. Verfasser: ASLANYAN, VAHAGN
Format: Artikel
Sprache:eng
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