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

Adolf Mader, Phill Schultz

    Research output: Contribution to journalArticle

    3 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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    Torsion-free Abelian Group
    Finite Rank
    Decomposable
    Torsional stress
    Isomorphism
    Decomposition
    Decompose

    Cite this

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    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.",
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    Completely decomposable direct summands of torsion-free abelian groups of finite rank. / Mader, Adolf; Schultz, Phill.

    In: Proceedings of the American Mathematical Society, Vol. 146, No. 1, 01.2018, p. 93-96.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Completely decomposable direct summands of torsion-free abelian groups of finite rank

    AU - Mader, Adolf

    AU - Schultz, Phill

    PY - 2018/1

    Y1 - 2018/1

    N2 - 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.

    AB - 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.

    KW - Completely decomposable direct summand

    KW - Direct decomposition

    KW - Torsion-free abelian group of finite rank

    UR - http://www.scopus.com/inward/record.url?scp=85034230424&partnerID=8YFLogxK

    U2 - 10.1090/proc/13732

    DO - 10.1090/proc/13732

    M3 - Article

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    EP - 96

    JO - Proceedings of the American Mathematical Soceity

    JF - Proceedings of the American Mathematical Soceity

    SN - 0002-9939

    IS - 1

    ER -