Quasi-minimal abelian groups

DOI10.1090/S0002-9939-04-07065-0zbMath1052.20042MaRDI QIDQ4813627

S. ÓhÓgáin, Brendan Goldsmith, Simone L. Wallutis

Publication date: 13 August 2004

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

zbMATH Keywords

undecidabilitydirect sumsdirect summandscompletely decomposable groupspure subgroupsquasi-minimal Abelian groups

Mathematics Subject Classification ID

Consistency and independence results (03E35) Torsion-free groups, infinite rank (20K20) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27)

Related Items (10)

CO-HOPFIAN ABELIAN GROUPS ⋮ Primary Abelian Groups Isomorphic to the Proper Fully Invariant Subgroup ⋮ On Abelian Groups Having All Proper Fully Invariant Subgroups Isomorphic ⋮ Fully Invariant Subgroups of Abelianp-Groups with Finite Ulm–Kaplansky Invariants ⋮ On abelian groups with right-invariant isometries. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Abelian groups isomorphic to a proper fully invariant subgroup ⋮ Torsion IF-groups.

Cites Work

• Set theory. An introduction to independence proofs
• Infinite Abelian groups, Whitehead problem and some constructions
• Iterated Cohen extensions and Souslin's problem
• Minimal Infinite Topological Spaces
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
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