Arbitrarily large indecomposable divisible torsion modules over certain valuation domains
type: Item
instance of: scholarly article
title: Arbitrarily large indecomposable divisible torsion modules over certain valuation domains
zbMATH Open document ID: 0611.13010
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1986-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108044
review text: In this paper, the author studies the existence of large indecomposable torsion modules: it is shown that there exist valuation domains R such that there are arbitrarily large torsion divisible R-modules.
Mathematics Subject Classification ID: 13C12
zbMATH DE Number: 3987418
zbMATH Keywords: large indecomposable torsion modules
zbMATH Keywords: valuation domains
author: László Fuchs
reviewed by: Serban Raianu
MaRDI profile type: Publication
cites work: Fully rigid systems of modules
cites work: Q3819239
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cites work: On polyserial modules over valuation domains
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cites work: Cotorsion modules
cites work: Infinite Abelian groups, Whitehead problem and some constructions
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description: scientific article; zbMATH DE number 3987418