Groups and Fields Interpretable in Separably Closed Fields

DOI10.2307/2154720zbMath0803.03023OpenAlexW4246523546MaRDI QIDQ4305915

Margit Messmer

Publication date: 5 January 1995

Full work available at URL: https://doi.org/10.2307/2154720

zbMATH Keywords

infinite fieldinfinite groupseparably closed field\(F\)- algebraic groupfinite Ershov-invariant

Mathematics Subject Classification ID

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

Related Items

Sets, groups, and fields definable in vector spaces with a bilinear form ⋮ Comparing Peano arithmetic, Basic Law V, and Hume's Principle ⋮ The Mordell-Lang conjecture for function fields ⋮ Unnamed Item ⋮ Model theory and diophantine geometry ⋮ Groups definable in separably closed fields ⋮ Subgroups of the additive group of a separably closed field ⋮ A simple criterion

Cites Work

• Weil's group chunk theorem: A topological setting
• Some Basic Theorems on Algebraic Groups
• The independence relation in separably closed fields
• Idéaux et types sur les corps séparablement clos
• Notes on the stability of separably closed fields
• On $ω_1$-categorical theories of fields
• On Algebraic Groups of Transformations
• Superstable fields and groups
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