On Primary Abelian Groups Modulo Finite Subgroups

DOI10.1080/00927870802278610zbMath1169.20028OpenAlexW2057574522MaRDI QIDQ3619833

Peter V. Danchev

Publication date: 9 April 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802278610

zbMATH Keywords

Abelian \(p\)-groups\(p^{\omega+n}\)-projective groups\(\sigma\)-summable groupssummable groups\(C_\lambda\)-groups\(\Sigma\)-groupsalmost totally projective groupsessentially finitely indecomposable groupscominimal groupsreduced minimal groups

Mathematics Subject Classification ID

Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)

Related Items (2)

STRONGLY AND SOLIDLY ω1-WEAK pω·2+n-PROJECTIVE ABELIAN p-GROUPS ⋮ On ω₁-n-simply presented abelian p-groups

Cites Work

• Unnamed Item
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• Primary abelian groups and direct sums of cyclics
• On torsion and mixed minimal Abelian groups.
• Generalized Dieudonné and Hill criteria.
• Nice bases for primary Abelian groups.
• Homology and direct sums of countable abelian groups
• On mixed groups of torsion-free rank one with totally projective primary components
• Commutative Group Algebras of Summablep-Groups
• Notes on Essentially Finitely Indecomposable Nonthick Primary Abelian Groups
• Thick Groups and Essentially Finitely Indecomposable Groups
• A note on 𝜎-summable groups
• ESSENTIALLY FINITELY INDECOMPOSABLE ABELIAN p-GROUPS
• On Direct Products of Abelian Groups

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