Generalized Dieudonné and Honda Criteria

DOI10.1142/S1005386709000170zbMath1166.20047MaRDI QIDQ3607464

Peter V. Danchev

Publication date: 2 March 2009

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

Full work available at URL: http://www.worldscinet.com/ac/16/1601/S1005386709000170.html

zbMATH Keywords

Abelian \(p\)-groupstotally projective groupssummable groups\(\Xi\)-groupscoproducts of co-cyclic groupsstrongly \(\Xi\)-subgroupsstrongly summable subgroupsstrongly totally projective subgroups

Mathematics Subject Classification ID

Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27)

Related Items (3)

Generalized Dieudonné and Hill criteria. ⋮ Unnamed Item ⋮ On elongations of totally projective groups and \(\alpha\)-\(\Sigma\)-groups.

Cites Work

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• Characteristic properties of large subgroups in primary Abelian groups.
• Homology and direct sums of countable abelian groups
• On mixed groups of torsion-free rank one with totally projective primary components
• Sufficient conditions for a group to be a direct sum of cyclic groups
• Commutative Group Algebras of Summablep-Groups
• On commutative group algebras of mixed groups
• On fully decomposable abelian torsion groups

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