A Cancellation Criterion for Finite-Rank Torsion-Free Abelian Groups

DOI10.2307/2045214zbMath0569.20042OpenAlexW4243711291MaRDI QIDQ3686895

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Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045214

zbMATH Keywords

stable rangecancellation propertyfinitely generated abelian groupstorsion-free abelian groups of finite rankstrongly indecomposable torsion-free abelian groupunit of End(G)

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15) Abelian groups (20K99)

Related Items

Bjarni Jónsson's contributions in algebra ⋮ On a theorem of Stelzer for some classes of mixed groups ⋮ Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Cancellation properties for quotient divisible groups. ⋮ A Baer-Kaplansky theorem for modules over principal ideal domains ⋮ A mixed version for a Fuchs' lemma

Cites Work

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• Cancellation of modules and groups and stable range of endomorphism rings
• Finite rank torsion free Abelian groups and rings
• Cancellation in Direct Sums of Groups
• On direct decompositions of torsionfree Abelian groups

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