Invariants for a Class of Torsion-Free Abelian Groups

DOI10.2307/2046939zbMath0673.20033OpenAlexW4238631921MaRDI QIDQ3826757

David M. Arnold, C. I. Vinsonhaler

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2046939

zbMATH Keywords

typesstrongly indecomposable groupsquasi-invariantstype latticequasi-isomorphism invariants

Mathematics Subject Classification ID

Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15) Abelian groups (20K99)

Related Items (7)

Representations of lattices in additive categories ⋮ Invariants for classes of indecomposable representations of finite posets ⋮ Almost completely decomposable torsion-free groups ⋮ Isomorphism Invariants for Abelian Groups ⋮ Abelian groups ⋮ Invariants for Abelian groups and dual exact sequences. ⋮ Butler groups cannot be classified by certain invariants

Cites Work

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• Butler groups, valuated vector spaces, and duality
• Finite rank torsion free Abelian groups and rings
• Abelian groups without elements of finite order
• An Extension of the Theory of Completely Decomposable Torsion-Free Abelian Groups
• Endomorphism Rings of Vector Spaces and Torsion Free Abelian Groups
• A Class of Torsion-Free Abelian Groups of Finite Rank
• Torsion-Free Modules and Diagrams of Vector Spaces
• Torsion free groups of rank two

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