Unitary independence in the study of finitely generated and of finite rank torsion-free modules over a valuation domain

zbMath0727.13009MaRDI QIDQ803212

Paolo Zanardo

Publication date: 1989

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_1989__82__185_0

zbMATH Keywords

valuation domainsunitary independence

Mathematics Subject Classification ID

Valuation rings (13F30) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Torsion modules and ideals in commutative rings (13C12)

Related Items (2)

On strongly flat modules over integral domains ⋮ \(u\)-independence and quadratic \(u\)-independence in the construction of indecomposable finitely generated modules.

Cites Work

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• On two-generated modules over valuation domains
• Some cardinal invariants for valuation domains
• Discrete valuation domains and ranks of their maximal extensions
• Rank-two torsion-free modules over valuation domains
• On the classification of indecomposable generated modules over valuation domains
• Indecomposable finitely generated modules over valuation domains
• A Duality for Torsion-Free Modules of Finite Rank Over a Discrete Valuation Ring

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