\(P\)-stable abelian groups

DOI10.1007/S10469-013-9253-6zbMath1337.03046OpenAlexW2110481491MaRDI QIDQ893082

Evgeniĭ Andreevich Palyutin

Publication date: 13 November 2015

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

Full work available at URL: https://doi.org/10.1007/s10469-013-9253-6

zbMATH Keywords

\((P,a)\)-stable abelian group\((P,s)\)-stable abelian group

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Subgroups of abelian groups (20K27)

Related Items (11)

Canonical and existential groups in universal classes of abelian groups ⋮ \( P \)-stability of some classes of \(S \)-acts ⋮ The number of \(P\)-expansions of abelian groups ⋮ Theories of \(P\)-expansions of abelian groups ⋮ \(P\)-stable abelian groups ⋮ Generalized stability of the class of injective \(S\)-acts ⋮ Totally \(P\)-stable abelian groups ⋮ \(P\)-stable polygons ⋮ Canonical and algebraically closed groups in universal classes of abelian groups ⋮ A.D. Taimanov and model theory in Kazakhstan ⋮ \(P\)-spectra of abelian groups

Cites Work

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• Generalized stability of torsion-free abelian groups
• \(P\)-stable abelian groups
• Model theory of modules
• Stable theories
• Characterization of (p, 1)-stable theories
• Categoricity in Power
• Elementary properties of Abelian groups

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