Almost free algebras

DOI10.1007/BF02808203zbMath0821.08008arXivmath/9408213OpenAlexW2025786613MaRDI QIDQ1804800

Saharon Shelah, Alan H. Mekler

Publication date: 11 September 1995

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9408213

zbMATH Keywords

almost free algebraessentially non-free algebra

Mathematics Subject Classification ID

Free algebras (08B20) Ordinal and cardinal numbers (03E10)

Related Items (6)

The essentially free spectrum of a variety ⋮ Almost free groups and long Ehrenfeucht-Fraïssé games ⋮ Set Theory Generated by Abelian Group Theory ⋮ Upward categoricity from a successor cardinal for tame abstract classes with amalgamation ⋮ Polish algebras, shy from freedom. ⋮ If there is an exactly λ-free abelian group then there is an exactly λ-separable one in λ

Cites Work

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• The consistency strength of ``every stationary set reflects
• \(L_{\infty \omega}\)-free algebras
• Categoricity results for \(L_{\infty \kappa}\)-free algebras
• A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
• Incompactness in regular cardinals
• Saturated ideals
• When Does Almost Free Imply Free? (For Groups, Transversals, etc.)

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