Forcing a basis into \(\aleph_1\)-free groups

DOI10.1016/j.jalgebra.2023.03.009OpenAlexW4327719852MaRDI QIDQ2700947

Daniel P. Bossaller, Alexandra V. Pasi, Daniel Herden

Publication date: 27 April 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.06634

zbMATH Keywords

forcing\(\Gamma\)-invariant\(\aleph_1\)-free groupstransitive model extensions

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Consistency and independence results (03E35) Torsion-free groups, infinite rank (20K20) Direct sums, direct products, etc. for abelian groups (20K25) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (1)

On the absoluteness of \(\aleph_1\)-freeness

Cites Work

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• Adding a closed unbounded set
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• When Does Almost Free Imply Free? (For Groups, Transversals, etc.)
• Prescribing Endomorphism Algebras, a Unified Treatment
• The independence of the notions of Hopfian and co-Hopfian Abelian p-groups
• Abelian Groups

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