Tensor products of torsion free Abelian groups of finite rank.
type: Item
instance of: scholarly article
title: Tensor products of torsion free Abelian groups of finite rank.
zbMATH Open document ID: 0594.20048
DOI: 10.1007/BF01198232
author: Huberta Lausch
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: The author gives a set of criteria which are necessary and sufficient for a torsion-free abelian group B of finite rank to be a tensor product of s torsion-free abelian groups. The characterization is quite technical involving a fixed embedding of B into a vector space and the geometric concept of a Segre manifold. Applications are given to show that a representation of a torsion-free abelian group of finite rank as a tensor product need not be unique.
Mathematics Subject Classification ID: 20K15
Mathematics Subject Classification ID: 20K25
zbMATH DE Number: 3955234
zbMATH Keywords: torsion-free abelian group
zbMATH Keywords: tensor product
zbMATH Keywords: Segre manifold
MaRDI profile type: Publication
cites work: Finite rank torsion free Abelian groups and rings
cites work: Q3278687
cites work: Q5609457
cites work: Tensorprodukil zwfter turstunsfreier abelscher gruppen des ranges zwei
description: scientific article; zbMATH DE number 3955234