Nonstandard uniserial modules over valuation domains

DOI10.1007/BF03322380zbMath0679.13003MaRDI QIDQ1124638

Berthold Franzen, Rüdiger Göbel

Publication date: 1987

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

valuation domainnonstandard uniserial modules

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Applications of logic to commutative algebra (13L05) Nonstandard models of arithmetic (03H15)

Related Items (7)

Explicitly non-standard uniserial modules ⋮ A construction of nonstandard uniserial modules over valuation domains ⋮ Moduli uniseriali non standard ⋮ Elongations of uniserial modules over valuation domains ⋮ On a Conjecture Regarding Nonstandard Uniserial Modules ⋮ Uniserial modules over manis rings ⋮ On non-standard uniserial modules over valuation domains and their quotients

Cites Work

• Unnamed Item
• Fully rigid systems of modules
• Arbitrarily large indecomposable divisible torsion modules over certain valuation domains
• Serial modules and endomorphism rings
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)

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