COMMUTING PROPERTIES OF EXT

DOI10.1017/S1446788712000456zbMath1285.20059MaRDI QIDQ2861581

Phillip Schultz

Publication date: 11 November 2013

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

zbMATH Keywords

extensionstorsion-free Abelian groupscotorsion groupssplittersself-productsfunctors on Abelian groupsself-sums

Mathematics Subject Classification ID

Extensions of abelian groups (20K35) Homological and categorical methods for abelian groups (20K40) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items

The defect functor of a homomorphism and direct unions, Modules \(M\) such that \(\mathrm{Ext}_R^1(M,-)\) commutes with direct limits.

Cites Work

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• SELF-SMALL ABELIAN GROUPS
• Cotorsion theories and splitters
• WHEN EXT COMMUTES WITH DIRECT SUMS
• Dualities for self–small groups