Some applications of ordinal dimensions to the theory of differentially closed fields

DOI10.2307/2586542zbMath0948.03036OpenAlexW2125056053MaRDI QIDQ4953225

Wai Yan Pong

Publication date: 14 November 2000

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2586542

zbMATH Keywords

projective spaceMorley rankfinite rankdefinable setsdifferentially closed fieldsquasi-projective variety\(U\)-rank

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Differential algebra (12H05) Model theory of fields (12L12)

Related Items (7)

IN MEMORIAM: MICHAEL MORLEY, 1930–2020 ⋮ On subgroups of the additive group in differentially closed fields ⋮ Bertini theorems for differential algebraic geometry ⋮ Complete sets in differentially closed fields ⋮ Definability of types and VC density in differential topological fields ⋮ Further notes on cell decomposition in closed ordered differential fields ⋮ Corrigendum to: “On Lascar rank and Morley rank of definable groups in differentially closed fields”

Cites Work

• Ranks and definability in superstable theories
• A notion of Krull dimension for differential rings
• Lascar and Morley ranks differ in differentially closed fields
• Differential Dimension Polynomials and a Fundamental Theorem on Differential Modules

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