On the structure of \(p\)-local abelian groups

DOI10.1016/0021-8693(91)90249-8zbMath0752.20027OpenAlexW2000046668MaRDI QIDQ1178041

Charles Megibben, Paul Hill, Mark T. Lane

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90249-8

zbMATH Keywords

direct sumUlm-Kaplansky invariantsWarfield invariantsisotype subgrouplimit ordinal\(A\)-groups\(\mu\)-elementary \(B\)-module\(B\)-invariants\(p\)-local abelian groupmixed \(p\)-local abelian groupsreduced \(p\)-local balanced projective groupreduced totally projective \(p\)-grouptorsion \(B\)-modules

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) Mixed groups (20K21)

Related Items (6)

Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Mixed Groups ⋮ Equivalence theorems ⋮ Modules over discrete valuation domains. II ⋮ On the Unit Groups of Commutative Modular Group Algebras ofKT-Groups

Cites Work

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• On the theory and classification of Abelian \(p\)-groups
• Toward the classification of mixed groups
• The balanced-projective dimension of p-local Abelian groups
• Valuated groups
• On \(p^{\alpha}\)-high injectives
• On the Structure of Abelian p-Groups
• A New Characterization for p-Local Balanced Projective Groups
• Isotype Submodules of p-Local Balanced Projective Groups
• A Projective Characterization for SKT-modules
• S-Groups Revisited
• A Classification Theorem for Abelian p-Groups
• Classification Theory of Abelian Groups. I: Balanced Projectives

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