Cotorsion theories cogenerated by \(\aleph_1\)-free Abelian groups.

DOI10.1216/rmjm/1181070044zbMath1049.20031OpenAlexW2073549544MaRDI QIDQ1415022

Saharon Shelah, Lutz H. Strüngmann

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-4/CONT32-4/CONT32-4.html

zbMATH Keywords

torsion-free Abelian groupsAbelian torsion groupscotorsion classes

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35) Homological and categorical methods for abelian groups (20K40) Torsion groups, primary groups and generalized primary groups (20K10)

Related Items

Baer cotorsion pairs.

Cites Work

• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• Torsion groups in cotorsion classes.
• The subgroup of the elements of finite order of an Abelian group
• Whitehead Modules over Domains
• A Solution to the Splitting Mixed Group Problem of Baer
• On the lattice of cotorsion theories
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