### 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 language | English |
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Pages (from-to) | 93-96 |

Number of pages | 4 |

Journal | Proceedings of the American Mathematical Society |

Volume | 146 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 2018 |

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### Cite this

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*Proceedings of the American Mathematical Society*, vol. 146, no. 1, pp. 93-96. https://doi.org/10.1090/proc/13732

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

Research output: Contribution to journal › Article

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

VL - 146

SP - 93

EP - 96

JO - Proceedings of the American Mathematical Soceity

JF - Proceedings of the American Mathematical Soceity

SN - 0002-9939

IS - 1

ER -