Mixed Groups

DOI10.2307/2153975zbMath0798.20050OpenAlexW4238471009MaRDI QIDQ4032444

Paul Hill, Charles Megibben

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2153975

zbMATH Keywords

direct summandsprimitivityWarfield groups\(p\)-local Warfield groupsaxiom-3 family of knice subgroupsisotype knice subgroupsimply presented mixed abelian group

Mathematics Subject Classification ID

Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Mixed groups (20K21)

Related Items (11)

Isotype Warfield subgroups of global Warfield groups. ⋮ The sequentially pure projective dimension of global groups with decomposition bases. ⋮ Almost Warfield groups. ⋮ Modules over discrete valuation domains. III ⋮ Unnamed Item ⋮ Modules over discrete valuation domains. I ⋮ ISOTYPE SUBGROUPS OF LOCAL WARFIELD GROUPS ⋮ Isotype knice subgroups of global Warfield groups ⋮ Equivalence theorems ⋮ Modules over discrete valuation domains. II ⋮ Characterizations of Warfield groups

Cites Work

• On the theory and classification of Abelian \(p\)-groups
• Global Azumaya theorems in additive categories
• On the structure of \(p\)-local abelian groups
• Almost-affable Abelian groups
• The classification of certain Butler groups
• Abelian groups without elements of finite order
• Pure Subgroups of Torsion-Free Groups
• Torsion Free Groups
• Axiom 3 Modules
• The Balanced-Projective Dimension of Abelian p-Groups
• Generalizations of the Stacked Bases Theorem
• Global Warfield Groups
• Existence Theorems for Warfield Groups
• On Torsion-Free Abelian k-Groups
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
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