Localizations of torsion-free Abelian groups.

DOI10.1016/j.jalgebra.2003.12.023zbMath1067.20070OpenAlexW2030507488MaRDI QIDQ1879676

Manfred Dugas

Publication date: 23 September 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.12.023

zbMATH Keywords

cotorsion-free Abelian groupslocalizationsfree Abelian groups\(E\)-ringsfinite rank Butler groups

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion-free groups, finite rank (20K15)

Related Items (10)

Co-local subgroups of Abelian groups. II. ⋮ Cellular covers of mixed abelian groups ⋮ Localizations of tensor products. ⋮ Cellular covers of ℵ₁-free abelian groups ⋮ An almost full embedding of the category of graphs into the category of abelian groups ⋮ Rigid ℵ1-Free Abelian Groups with Prescribed Factors and Their Role in the Theory of Cellular Covers ⋮ Chains of Group Localizations ⋮ Idempotent functors and localizations in categories of modules and Abelian groups. ⋮ Quasi-localizations of \(\mathbb{Z}\). ⋮ Localizations of torsion-free Abelian groups. II.

Cites Work

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• Finite rank torsion free Abelian groups and rings
• Cardinality and nilpotency of localizations of groups and \(G\)-modules
• Abelian groups and representations of finite partially ordered sets
• Large E-rings exist
• Self-Free Modules and E-Rings

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