On \(\omega\)-categorical, generically stable groups and rings

DOI10.1016/J.APAL.2013.01.003zbMath1408.03023arXiv1202.2327OpenAlexW2076958053MaRDI QIDQ385075

Krzysztof Krupiński, Jan Cz. Dobrowolski

Publication date: 29 November 2013

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

Full work available at URL: https://arxiv.org/abs/1202.2327

zbMATH Keywords

generic stability\(\omega\)-categorical group\(\omega\)-categorical ring

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45) Categoricity and completeness of theories (03C35)

Related Items (1)

Some Remarks on dp-Minimal Groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On NIP and invariant measures
• Small profinite groups and rings
• \(\aleph_0\)-categorical stable groups
• \(\aleph_0\)-categoricity and stability of rings
• Totally categorical groups and rings
• Superrosy dependent groups having finitely satisfiable generics
• On 𝜔-categorical groups and rings with NIP
• On ω-categorical, generically stable groups
• GENERIC STABILITY AND STABILITY
• Generic stability, regularity, and quasiminimality
• On relationships between algebraic properties of groups and rings in some model-theoretic contexts
• ABSOLUTELY UBIQUITOUS STRUCTURES AND N₀-CATEGORICAL GROUPS
• On ℵ₀-categorical nilrings. II
• Supersimple ω-categorical groups and theories
• Groups, measures, and the NIP

This page was built for publication: On \(\omega\)-categorical, generically stable groups and rings