Explicitly non-standard uniserial modules

DOI10.1016/0022-4049(93)90151-IzbMath0786.13003arXivmath/9301207OpenAlexW2092870168MaRDI QIDQ2366053

Saharon Shelah, Paul C. Eklof

Publication date: 29 June 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9301207

zbMATH Keywords

valuation domainexistence of nonstandard uniserial module of a given type

Mathematics Subject Classification ID

Valuation rings (13F30) Applications of logic to commutative algebra (13L05) Other special types of modules and ideals in commutative rings (13C13) Arithmetic rings and other special commutative rings (13F99)

Cites Work

• On non-standard uniserial modules over valuation domains and their quotients
• Around classification theory of models
• Nonstandard uniserial modules over valuation domains
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• Kaplansky's Problem on Valuation Rings
• A construction of nonstandard uniserial modules over valuation domains
• A fine hierarchy of partition cardinals
• On a Conjecture Regarding Nonstandard Uniserial Modules
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