Direct summands of vector groups
type: Item
instance of: scholarly article
title: Direct summands of vector groups
zbMATH Open document ID: 0739.20026
DOI: 10.1007/BF01950930
published in: Acta Mathematica Hungarica
publication date: 1992-06-25T00:00:00Z
review text: Cartesian products of subgroups of the rationals are called vector groups. The author deals with the well-known problem whether the class of vector groups is closed under taking direct summands. The answer is yes in some special cases considered in recent years. The author provides a Lemma 2 (p. 207) which serves for the purpose to overcome a defective part in a proof of the problem given in his paper [Pac. J. Math. 117, 379-385 (1985; Zbl 0532.13007)]. Unfortunately, the Lemma is not correct. A counterexample will be published in [\textit{U. Albrecht}, ``A note on Countable Lattices of Types'' (in preparation)].
Mathematics Subject Classification ID: 20K27
Mathematics Subject Classification ID: 20K25
zbMATH DE Number: 8708
zbMATH Keywords: Cartesian products of subgroups
zbMATH Keywords: vector groups
zbMATH Keywords: direct summands
author: John D. O'Neill
MaRDI profile type: Publication
cites work: Q3849026
cites work: Q5609457
cites work: Direct summands of direct products of slender modules
cites work: Q3693597
full work available at URL: https://doi.org/10.1007/bf01950930
OpenAlex ID: W2000735589
description: scientific article; zbMATH DE number 8708