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

Adolf Mader; Phill Schultz

doi:10.1090/proc/13732

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

Adolf Mader, Phill Schultz

Research output: Contribution to journal › Article › peer-review

6 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 language	English
Pages (from-to)	93-96
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	146
Issue number	1
DOIs	https://doi.org/10.1090/proc/13732
Publication status	Published - Jan 2018

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title = "Completely decomposable direct summands of torsion-free abelian groups of finite rank",

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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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

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

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