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Showing papers on "Torsion-free abelian group published in 2018"

Journal Article•DOI•
Indecomposable Decompositions of Torsion-free Abelian Groups

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Adolf Mader1, Phill Schultz2•
University of Hawaii at Manoa1, University of Western Australia2
15 Jul 2018-Journal of Algebra
TL;DR: In this paper, the problem of characterizing those sets of partitions of n which can arise from indecomposable decompositions of a torsion-free abelian group is addressed.

2 citations

Journal Article•DOI•
On Determinability of a Completely Decomposable Torsion-Free Abelian Group by its Automorphism Group

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V. K. Vildanov1•
N. I. Lobachevsky State University of Nizhny Novgorod1
01 Apr 2018-Journal of Mathematical Sciences
TL;DR: In this article, the determinability of an Abelian group by its automorphism group in the class of completely decomposable torsion-free Abelian groups whose direct summands of rank 1 have idempotent types was studied.
Abstract: In this paper, we consider the question of determinability of an Abelian group by its automorphism group in the class of completely decomposable torsion-free Abelian groups whose direct summands of rank 1 have idempotent types.