Self-splitting abelian groups

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    24 Citations (Scopus)


    G is a reduced torsion-free Abelian group such that for every direct sum circle plusG of copies of G(1) Ext(circle plusG, circle plusG) = 0 if and only if G is a free module over a rank 1 ring. For every direct product Pi G of copies of G, Ext (Pi G, Pi G) = 0 if and only if G is cotorsion.
    Original languageEnglish
    Pages (from-to)71-79
    JournalBulletin of the Australian Mathematical Society
    Publication statusPublished - 2001


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