On the analogue of Corner's finite rank theorem for modules over valuation domains

DOI10.1007/BF01194234zbMath0793.20052MaRDI QIDQ1325091

Paolo Zanardo, Brendan Goldsmith

Publication date: 18 August 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

modules over valuation domainsendomorphism rings of Abelian groupsendomorphism algebracountable reduced torsion-free ringtorsion-free Abelian groupfinite rank torsion-free \(R_ 0\)-module

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion-free groups, finite rank (20K15)

Related Items (4)

Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Kurosch invariants for torsion-free modules over Nagata valuation domains ⋮ Modules over discrete valuation domains. II

Cites Work

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• Rank-two torsion-free modules over valuation domains
• Independence in Completions and Endomorphism Algebras
• Decomposition Problems for Modules Over Valuation Domains
• Modules over arbitrary domains II
• Prescribing Endomorphism Algebras, a Unified Treatment
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring

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