On endomorphism rings of $B_1$-groups that are not $B_2$-groups

DOI10.1090/S0002-9939-09-09954-7zbMath1187.20063OpenAlexW2907473472MaRDI QIDQ3642650

Lutz H. Strüngmann

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09954-7

zbMATH Keywords

endomorphism ringstorsion-free Abelian groupsButler groupscompletely decomposable groupspure subgroupsHawaiian groupsmodels of ZFC\(B_1\)-groups\(B_2\)-groupsinfinite rank Abelian 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) Subgroups of abelian groups (20K27)

Related Items (1)

Pure subgroups of completely decomposable groups and a group class problem.

Cites Work

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• A class of Butler groups and their endomorphism rings.
• Set theory. An introduction to independence proofs
• Butler groups of arbitrary cardinality
• Abelian groups and representations of finite partially ordered sets
• It is consistent with ZFC that B1 -groups are not B2
• A Class of Torsion-Free Abelian Groups of Finite Rank

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