Minimal modules over valuation domains

DOI10.1016/j.jpaa.2004.11.009zbMath1098.13025OpenAlexW2037710396MaRDI QIDQ555963

Brendan Goldsmith, Paolo Zanardo

Publication date: 10 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arrow.dit.ie/cgi/viewcontent.cgi?article=1041&context=scschmatart

zbMATH Keywords

valuation domains

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Other special types of modules and ideals in commutative rings (13C13)

Cites Work

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• Equivalent forms of Hensel's lemma
• On two-generated modules over valuation domains
• Finite rank torsion free Abelian groups and rings
• Kurosch invariants for torsion-free modules over Nagata valuation domains
• The Krull-Schmidt problem for modules over valuation domains
• On torsion and mixed minimal Abelian groups.
• Rank-two torsion-free modules over valuation domains
• Decomposition Problems for Modules Over Valuation Domains
• Indecomposable Modules Over Nagata Valuation Domains
• On Groups that are Isomorphic with Every Subgroup of Finite Index and their Topology
• Nonhenselian valuation domains and the Krull–Schmidt Property for torsion-free modules

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