On singular compactness

DOI10.1007/BF02483935zbMath0505.03018MaRDI QIDQ1835914

Paul C. Eklof

Publication date: 1982

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

zbMATH Keywords

valuated vector spaceShreier propertysingular compactness theorem

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Applications of logic to commutative algebra (13L05)

Related Items (6)

Compactness in singular cardinals revisited ⋮ Baer modules over valuation domains ⋮ On the torsion product and direct sums of primary cyclic groups. ⋮ Abelian groups ⋮ On iterated torsion products of Abelian \(p\)-groups ⋮ Some Isomorphisms of Abelian Groups Involving the Tor Functor

Cites Work

• Unnamed Item
• In singular cardinality, locally free algebras are free
• Vector spaces with valuations
• Infinitary model theory of Abelian groups
• A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
• On the Existence of κ-Free Abelian Groups

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