A criterion for complete decomposability and Butler modules over valuation domains

DOI10.1006/JABR.1997.7398zbMath0941.13012OpenAlexW1966096599MaRDI QIDQ1271013

Kulumani M. Rangaswamy

Publication date: 18 May 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7398

zbMATH Keywords

valuation domainbalanced extensionbalanced projective dimensionButler modulecomplete decomposability

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Valuation rings (13F30) Other special types of modules and ideals in commutative rings (13C13)

Related Items (4)

On the union of increasing chains of torsion-free modules over integral domains ⋮ On completely decomposable and separable modules over Prüfer domains ⋮ Torsion-free modules of finite balanced-projective dimension over valuation domains. ⋮ Torsion-free modules over valuation domains whose balanced-projective dimension is at most one

Cites Work

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• Baer modules over valuation domains
• In singular cardinality, locally free algebras are free
• Some properties of Butler modules over valuation domains
• Torsion-free modules over valuation domains whose balanced-projective dimension is at most one
• Butler groups of arbitrary cardinality
• Baer Modules over Domains
• Butler Modules Over Valuation Domains
• Butler Groups of Infinite Rank II
• Butler groups of infinite rank and axiom 3
• Torsion-free modules of finite balanced-projective dimension over valuation domains.

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