On the torsion product and direct sums of primary cyclic groups.

DOI10.1016/J.JALGEBRA.2007.09.003zbMath1144.20035OpenAlexW2014644452MaRDI QIDQ926846

Patrick W. Keef

Publication date: 21 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.09.003

zbMATH Keywords

invariantspartially ordered setsdirect sums of countable groupsprimary Abelian groupsdirect sums of cyclic groups\(\Sigma\)-cyclic groupstorsion products

Mathematics Subject Classification ID

Homological and categorical methods for abelian groups (20K40) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25)

Cites Work

• When Tor(A,B) is a direct sum of cyclic groups
• On iterated torsion products of Abelian \(p\)-groups
• On the Tor functor and some classes of Abelian groups
• On singular compactness
• On the structure of Tor. II
• Homology and direct sums of countable abelian groups
• Some Isomorphisms of Abelian Groups Involving the Tor Functor
• An Application of Set Theory to the Torsion Product of Abelian Groups
• The Generalized Kulikov Criterion
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