Baer modules over valuation domains

DOI10.1007/BF01761475zbMath0654.13014OpenAlexW2082161962MaRDI QIDQ1108331

Paul C. Eklof, László Fuchs

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/bf01761475

zbMATH Keywords

ExtBaer groupsBaer modules over arbitrary valuation domains

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Valuations and their generalizations for commutative rings (13A18) 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 (15)

Bouquets of Baer modules ⋮ Unnamed Item ⋮ A WEAKER FORM OF BAER'S SPLITTING PROBLEM OVER VALUATION DOMAINS ⋮ A generalization of Baer's splitting problem on Abelian groups ⋮ László Fuchs' 70th birthday ⋮ The affinity of set theory and abelian group theory. ⋮ Some properties of Butler modules over valuation domains ⋮ On Whitehead modules ⋮ Semi-Baer modules over domains ⋮ Torsion-free modules of finite balanced-projective dimension over valuation domains. ⋮ A solution to the Baer splitting problem ⋮ Baer Modules over Domains ⋮ Torsion-free modules over valuation domains whose balanced-projective dimension is at most one ⋮ A criterion for complete decomposability and Butler modules over valuation domains ⋮ Butler groups of arbitrary cardinality

Cites Work

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• Modules of extensions over Dedekind rings
• The splitting of modules over integral domains
• In singular cardinality, locally free algebras are free
• A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
• On singular compactness
• A Solution to the Splitting Mixed Group Problem of Baer

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