On elongations of totally projective groups and \(\alpha\)-\(\Sigma\)-groups.

DOI10.1007/s10986-009-9045-9zbMath1181.20046OpenAlexW1990794398MaRDI QIDQ1044749

Peter V. Danchev

Publication date: 15 December 2009

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-009-9045-9

zbMATH Keywords

\(\omega\)-elongationsdirect sums of countable groupsdirect sums of cyclic groupssummable groups\(\alpha\)-\(\Sigma\)-groupstotally projective Abelian 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)

Cites Work

• On iterated torsion products of Abelian \(p\)-groups
• On the Tor functor and some classes of Abelian groups
• Generalized Dieudonné and Hill criteria.
• Note on elongations of totally projective \(p\)-groups by \(p^{\omega+n}\)-projective \(p\)-groups.
• Primary Abelian \(n\)-\(\Sigma\)-groups.
• On the structure of Tor. II
• Homology and direct sums of countable abelian groups
• Isotype subgroups of direct sums of countable groups
• A generalization of the classical theory of primary groups
• Generalized Wallace theorems
• Generalized Dieudonné and Honda Criteria
• On commutative group algebras of mixed groups
• The Generalized Kulikov Criterion
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