A note on indecomposable modules over valuation domains

zbMath0877.13022MaRDI QIDQ1904088

Matt D. Lunsford

Publication date: 10 December 1997

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1995__93__27_0

zbMATH Keywords

valuation domainsindecomposable finitely generated modulesfinite rank torsion-free modules

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Valuation rings (13F30) Torsion modules and ideals in commutative rings (13C12)

Related Items (2)

\(u\)-independence and quadratic \(u\)-independence in the construction of indecomposable finitely generated modules. ⋮ The Krull-Schmidt property for finitely generated modules over valuation domains

Cites Work

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• On two-generated modules over valuation domains
• Some cardinal invariants for valuation domains
• Rank-two torsion-free modules over valuation domains
• Finitely generated modules over valuation rings
• Indecomposable finitely generated modules over valuation domains

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