On subgroups of the additive group in differentially closed fields

DOI10.2178/jsl/1333566628zbMath1248.03054OpenAlexW2064966621MaRDI QIDQ2892665

Sonat Süer

Publication date: 19 June 2012

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

Full work available at URL: https://projecteuclid.org/euclid.jsl/1333566628

zbMATH Keywords

geometric stability theorydifferential fieldadditive subgrouplocal modularityregular types

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Differential algebra (12H05) Classification theory, stability, and related concepts in model theory (03C45) Model theory of fields (12L12)

Related Items (5)

Generalized Picard-Vessiot extensions and differential Galois cohomology ⋮ Superstability and central extensions of algebraic groups ⋮ A Jordan-Hölder theorem for differential algebraic groups ⋮ Indecomposability for differential algebraic groups ⋮ Completeness in partial differential algebraic geometry

Cites Work

• The classification of the semisimple differential algebraic groups and the linear semisimple differential algebraic Lie algebras
• The differential rational representation algebra on a linear differential algebraic group
• Some foundational questions concerning differential algebraic groups
• A remark on differential algebraic groups.
• Differential Algebraic Subgroups of SL(2) and Strong Normality in Simple Extensions
• On Lascar rank and Morley rank of definable groups in differentially closed fields
• Some applications of ordinal dimensions to the theory of differentially closed fields
• Differential Algebraic Groups

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