Generating ideals by additive subgroups of rings

DOI10.1016/j.apal.2022.103119OpenAlexW3113260088MaRDI QIDQ2140577

Krzysztof Krupiński, Tomasz Rzepecki

Publication date: 23 May 2022

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.04389

zbMATH Keywords

subgroupidealbounded indexfinite indexmodel-theoretic connected components

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Topological and ordered rings and modules (16W80) Applications of model theory (03C98) Applications of logic in associative algebras (16B70)

Cites Work

• On compactifications and the topological dynamics of definable groups
• Approximate subgroups
• Amenability, definable groups, and automorphism groups
• Model theoretic connected components of groups
• Amenability, connected components, and definable actions
• Structure and regularity for subsets of groups with finite VC-dimension
• The diameter of a Lascar strong type
• On compact topological rings
• Profinite Groups

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