A non-reflexive Whitehead group

DOI10.1016/S0022-4049(99)00152-8zbMath0973.20046arXivmath/9908157OpenAlexW2165759271WikidataQ126975417 ScholiaQ126975417MaRDI QIDQ5928855

Saharon Shelah, Paul C. Eklof

Publication date: 29 August 2001

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

Full work available at URL: https://arxiv.org/abs/math/9908157

zbMATH Keywords

models\(\aleph_1\)-coseparable groups\(\neg\)CHCHMAreflexive groupsstrongly non-reflexive co-Moore spacestorsion-free Abelian groupsWhitehead groupsZFC

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Applications of set theory (03E75) Applications of logic to commutative algebra (13L05) Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35)

Related Items (1)

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Cites Work

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• On reflexive modules and Abelian groups
• Locally free modules and a problem of Whitehead
• On the rank of Ext
• Whitehead groups may not be free even assuming CH. II
• The structure of Ext\((A,\mathbb{Z})\) and \(V=L\)
• Whitehead groups may be not free, even assuming CH. I
• Diamond and λ-systems

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