Categoricity results for \(L_{\infty \kappa}\)-free algebras
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Publication:1104924
DOI10.1016/0168-0072(88)90049-8zbMath0648.03021OpenAlexW2041529775MaRDI QIDQ1104924
Publication date: 1988
Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0168-0072(88)90049-8
varietydefinabilityhigher type recursion theory\(\Sigma ^ 0_ 3\)-game\(L_{\infty \kappa }\)-free algebrasreindexing
Free algebras (08B20) Equational classes, universal algebra in model theory (03C05) Other infinitary logic (03C75) Categoricity and completeness of theories (03C35)
Related Items (9)
Set Theory Generated by Abelian Group Theory ⋮ \(L_{\infty \omega}\)-free algebras ⋮ On Whitehead modules ⋮ Almost-free groups in varieties ⋮ On \(L_{\infty{}\kappa{}}\)-free Boolean algebras ⋮ Polish algebras, shy from freedom. ⋮ Baer Modules over Domains ⋮ Almost free algebras ⋮ If there is an exactly λ-free abelian group then there is an exactly λ-separable one in λ
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