Differentially closed fields

DOI10.1007/BF02756711zbMath0306.12105WikidataQ29029377 ScholiaQ29029377MaRDI QIDQ1217853

Saharon Shelah

Publication date: 1974

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Model theory (03C99) Differential algebra (12H05)

Related Items (15)

A Class of Differential Fields with Minimal Differential Closures ⋮ The notion of independence in categories of algebraic structures. I: Basic properties ⋮ FIELDS WITH SEVERAL COMMUTING DERIVATIONS ⋮ COMPLETENESS AND CATEGORICITY (IN POWER): FORMALIZATION WITHOUT FOUNDATIONALISM ⋮ Differential and difference algebra ⋮ A geometric model of an arbitrary differentially closed field of characteristic zero ⋮ Unnamed Item ⋮ Notes on the stability of separably closed fields ⋮ The model theory of differential fields revisited ⋮ On model complete differential fields ⋮ Stability theory and Algebra ⋮ Derivations of the Frobenius map ⋮ Model-companions and definability in existentially complete structures ⋮ Book Review: The birth of model theory: Löwenheim’s theory in the frame of the theory of relatives ⋮ Generic planar algebraic vector fields are strongly minimal and disintegrated

Cites Work

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• Constrained extensions of differential fields
• The number of non-isomorphic models of an unstable first-order theory
• The nonminimality of the differential closure
• Prime model extensions for differential fields of characteristic p ≠ 0
• Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory
• [https://portal.mardi4nfdi.de/wiki/Publication:5181684 The Model Theory of Differential Fields of Characteristic p � 0]
• Categoricity in Power
• Uniqueness and characterization of prime models over sets for totally transcendental first-order theories
• Transcendental Numbers. (AM-16)

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