A note on groups definable in difference fields
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Publication:2750906
DOI10.1090/S0002-9939-01-06004-XzbMath0983.03033MaRDI QIDQ2750906
Publication date: 21 October 2001
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Differential and difference algebra (12H99) Model theory of fields (12L12)
Related Items (9)
Model theory of endomorphisms of separably closed fields ⋮ Graphons arising from graphs definable over finite fields ⋮ On subgroups of semi-abelian varieties defined by difference equations ⋮ Difference Galois theory of linear differential equations ⋮ Almost-simple affine difference algebraic groups ⋮ Interpretable groups in Mann pairs ⋮ Difference Algebra ⋮ A simple criterion ⋮ Tame expansions of \({\omega}\)-stable theories and definable groups
Cites Work
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- Lazard's theorem for differential algebraic groups and proalgebraic groups.
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- Groups definable in local fields and pseudo-finite fields
- Some foundational questions concerning differential algebraic groups
- Hyperimaginaries and automorphism groups
- MODEL THEORY OF DIFFERENCE FIELDS, II: PERIODIC IDEALS AND THE TRICHOTOMY IN ALL CHARACTERISTICS
- Definability and definable groups in simple theories
- Model theory of difference fields
- Pro-algebraic and differential algebraic group structures on affine spaces
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