Divisible rigid groups. IV: Definable subgroups

DOI10.1007/S10469-020-09596-7zbMath1484.03066OpenAlexW3096865134MaRDI QIDQ2213935

N. S. Romanovskii

Publication date: 4 December 2020

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-020-09596-7

zbMATH Keywords

divisible groupdefinable subgrouprigid group

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Other classes of groups defined by subgroup chains (20F22) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

Divisible rigid groups. Morley rank ⋮ Generic types and generic elements in divisible rigid groups ⋮ Two facts on model theory for divisible rigid groups

Cites Work

• Equational Noetherianness of rigid soluble groups.
• Irreducible algebraic sets over divisible decomposed rigid groups.
• Divisible rigid groups. Algebraic closedness and elementary theory
• Divisible rigid groups. II: Stability, saturation, and elementary submodels
• Divisible rigid groups. III: Homogeneity and quantifier elimination
• Irreducibility of an affine space in algebraic geometry over a group.

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