An Extension of the Theory of Completely Decomposable Torsion-Free Abelian Groups

DOI10.2307/1999377zbMath0524.20028OpenAlexW4254791854MaRDI QIDQ3037662

Fred Richman

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999377

zbMATH Keywords

Butler groupsquasi-isomorphismcomplete set of invariantscompletely decomposable torsion-free abelian groupsdirect sums of groupsset of typesstrongly indecomposable groups of finite rank

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15)

Related Items (12)

Pure Subgroups of Torsion-Free Groups ⋮ A class of torsion-free abelian groups characterized by the ranks of their socles ⋮ On a class of Butler groups ⋮ Homomorphic images of completely decomposable finite rank torsion-free groups ⋮ Almost completely decomposable torsion-free groups ⋮ Abelian groups ⋮ Isomorphism Invariants for Abelian Groups ⋮ Indecomposable Butler groups of large cardinalities ⋮ Conductor of an Abelian group. ⋮ Invariants for a Class of Torsion-Free Abelian Groups ⋮ Zero-one matrices with an application to abelian groups ⋮ Butler groups of infinite rank and axiom 3

Cites Work

• Global Azumaya theorems in additive categories
• A Class of Torsion-Free Abelian Groups of Finite Rank
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