The Recovery of Some Abelian Groups from Their Socles

DOI10.2307/2043584zbMath0514.20040OpenAlexW4251814459MaRDI QIDQ3659983

Paul Hill

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043584

zbMATH Keywords

socleisotype subgroupssummable groupstotally projective p-groupsS-groupsdirect sum of countable p-groups

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) Subgroups of abelian groups (20K27) Abelian groups (20K99)

Related Items (4)

Generalizations of primary Abelian \(C_\alpha\) groups. ⋮ The balance of Tor ⋮ Abelian groups ⋮ On iterated torsion products of Abelian \(p\)-groups

Cites Work

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• Valuated groups
• Zur Theorie der abzählbar-unendlichen Abelschen Gruppen
• Homology and direct sums of countable abelian groups
• Isotype subgroups of direct sums of countable groups
• S-Groups Revisited
• A Classification Theorem for Abelian p-Groups
• A Summable C Ω -Group
• Another Summable C Ω -Group
• Direct sums of countable groups

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