If there is an exactly λ-free abelian group then there is an exactly λ-separable one in λ

DOI10.2307/2275815zbMath0877.20037arXivmath/9503226OpenAlexW1605907275MaRDI QIDQ3128472

Saharon Shelah

Publication date: 17 November 1997

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9503226

zbMATH Keywords

varieties of groupslarge cardinalsfree Abelian groupsfree direct summands\(\lambda\)-free Abelian groups\(\lambda\)-separable Abelian groups

Mathematics Subject Classification ID

Free nonabelian groups (20E05) Torsion-free groups, infinite rank (20K20) Other combinatorial set theory (03E05)

Related Items (3)

Almost free groups and long Ehrenfeucht-Fraïssé games ⋮ Quite free complicated abelian groups, pcf and black boxes ⋮ Almost free groups and Ehrenfeucht-Fraïssé games for successors of singular cardinals

Cites Work

• Unnamed Item
• Categoricity results for \(L_{\infty \kappa}\)-free algebras
• Almost free algebras
• Incompactness in regular cardinals

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