Quasi-isomorphisms of finitely generated modules over valuation domains

DOI10.1007/BF01762790zbMath0654.13012OpenAlexW1968105400MaRDI QIDQ1108330

Paolo Zanardo

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01762790

zbMATH Keywords

valuation domainfinitely generated moduleuniform summandsuniqueness of decompositions into indecomposable summands

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (5)

Unnamed Item ⋮ The Krull-Schmidt property for finitely generated modules over valuation domains ⋮ Equimorphism classes of uniserial modules over valuation domains ⋮ Rank-two torsion-free modules over valuation domains ⋮ Uniqueness of monogeny classes for uniform objects in abelian categories

Cites Work

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• On two-generated modules over valuation domains
• Some cardinal invariants for valuation domains
• Polyserial modules over valuation domains
• Modules which are isomorphic to submodules of each other
• Finitely generated modules over valuation rings
• 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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