The Kaplansky test problems for ℵ₁-separable groups

DOI10.1090/S0002-9939-98-04749-2zbMath0894.20041arXivmath/9709230MaRDI QIDQ4387063

Paul C. Eklof, Saharon Shelah

Publication date: 6 May 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9709230

zbMATH Keywords

endomorphism ringsdirect sumsfree direct summandsKaplansky test problems\(\aleph_1\)-separable groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Consistency and independence results (03E35) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items (6)

On the Schröder-Bernstein property for modules ⋮ When mutually epimorphic modules are isomorphic ⋮ Prescribing endomorphism algebras of \(\aleph_n\)-free modules. ⋮ Accessible subcategories of modules and pathological objects ⋮ Every linear order isomorphic to its cube is isomorphic to its square ⋮ ℵ_k-free separable groups with prescribed endomorphism ring

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