Completely decomposable direct summands of torsion-free abelian groups of finite rank

Adolf Mader, Phill Schultz

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    Let A be a finite rank torsion-free abelian group. Then there exist direct decompositions A = B ⊕ C where B is completely decomposable and C has no rank 1 direct summand. In such a decomposition B is unique up to isomorphism and C is unique up to near-isomorphism.

    Original languageEnglish
    Pages (from-to)93-96
    Number of pages4
    JournalProceedings of the American Mathematical Society
    Volume146
    Issue number1
    DOIs
    Publication statusPublished - Jan 2018

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