Torsion groups in cotorsion classes.

zbMath1097.20042MaRDI QIDQ2569671

Lutz H. Strüngmann

Publication date: 26 April 2006

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108583

zbMATH Keywords

extensionstorsion groupstorsion-free Abelian groupsalmost completely decomposable groupsrational groups

Mathematics Subject Classification ID

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 (2)

Baer cotorsion pairs. ⋮ Cotorsion theories cogenerated by \(\aleph_1\)-free Abelian groups.

Cites Work

• Finite rank torsion free Abelian groups and rings
• Typesets and cotypesets of rank-2 torsion free Abelian groups
• The typeset and cotypeset of a rank 2 Abelian group
• Homomorphisms and duality for torsion-free groups
• The subgroup of the elements of finite order of an Abelian group
• On direct decompositions of torsionfree Abelian groups
• Representation type of finite rank almost completely decomposable groups
• A Solution to the Splitting Mixed Group Problem of Baer
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