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

Access to Document

10.1090/proc/13732

Cite this

@article{c29cb027460b4d8cb5dc4f78ae4bff37,

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.",

keywords = "Completely decomposable direct summand, Direct decomposition, Torsion-free abelian group of finite rank",

author = "Adolf Mader and Phill Schultz",

year = "2018",

month = jan,

doi = "10.1090/proc/13732",

language = "English",

volume = "146",

pages = "93--96",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "1",

}

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 - https://www.scopus.com/pages/publications/85034230424

U2 - 10.1090/proc/13732

DO - 10.1090/proc/13732

M3 - Article

AN - SCOPUS:85034230424

SN - 0002-9939

VL - 146

SP - 93

EP - 96

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this