Projectivity types of torsion free Abelian groups of rank 1
type: Item
instance of: scholarly article
title: Projectivity types of torsion free Abelian groups of rank 1
zbMATH Open document ID: 0795.20041
author: Uwe Ostendorf
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1992-09-27T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108233
review text: Stimulated by a paper of \textit{R. Baer} [Am. J. Math. 61, 1-44 (1939; Zbl 0020.34704)] and a paper of \textit{E. Gasparini} and \textit{C. Metelli} [Boll. Unione Mat. Ital., VI. Ser., A 3, 363-371 (1984; Zbl 0578.20049)], the author considers projectivities between torsion-free groups of rank 1 (and of splitting mixed groups of torsion-free rank 1). He defines a new equivalence relation on types, which holds if and only if the corresponding torsion-free groups of rank 1 are projective. The earlier equivalence relation by Gasparini and Metelli is only necessary for projectivity. In the second part of this paper, the author extends his result to the mixed case, mentioned above.
Mathematics Subject Classification ID: 20K15
Mathematics Subject Classification ID: 20K21
Mathematics Subject Classification ID: 20E15
zbMATH DE Number: 60488
zbMATH Keywords: projectivities
zbMATH Keywords: torsion-free groups of rank 1
zbMATH Keywords: splitting mixed groups
zbMATH Keywords: equivalence relation on types
MaRDI profile type: Publication
cites work: Q3699930
cites work: Q3281123
cites work: The Significance of the System of Subgroups for the Structure of the Group
cites work: On verifying lattice isomorphisms between groups
description: scientific article; zbMATH DE number 60488