On two-generated modules over valuation domains

DOI10.1007/BF01210780zbMath0586.13003MaRDI QIDQ1071818

Luigi Salce, Paolo Zanardo

Publication date: 1986

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

zbMATH Keywords

endomorphism ringideals of a valuation domaintwo-generated modules

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Arithmetic rings and other special commutative rings (13F99)

Related Items (11)

Unnamed Item ⋮ A note on indecomposable modules over valuation domains ⋮ Quasi-isomorphisms of finitely generated modules over valuation domains ⋮ Polyserial modules over valuation domains ⋮ \(u\)-independence and quadratic \(u\)-independence in the construction of indecomposable finitely generated modules. ⋮ The Krull-Schmidt property for finitely generated modules over valuation domains ⋮ Minimal modules over valuation domains ⋮ An independence result on cotorsion theories over valuation domains ⋮ Valuation domains of bounded module type ⋮ Rank-two torsion-free modules over valuation domains ⋮ Unitary independence in the study of finitely generated and of finite rank torsion-free modules over a valuation domain

Cites Work

• Unnamed Item
• Some cardinal invariants for valuation domains
• Commutative rings whose finitely generated modules decompose
• Cancellation of modules and groups and stable range of endomorphism rings
• On the ring of endomorphisms of an indecomposable injective module over a Prüfer ring
• Finitely generated modules over valuation rings
• On the classification of indecomposable generated modules over valuation domains
• Indecomposable finitely generated modules over valuation domains

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