Moduli uniseriali non standard

DOI10.1007/BF02925085zbMath0787.13014OpenAlexW2087947281MaRDI QIDQ4280328

Luigi Salce

Publication date: 19 May 1994

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02925085

zbMATH Keywords

valuation domainsnon standard uniserial modules

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Valuation rings (13F30) Nonstandard models of arithmetic (03H15) Arithmetic rings and other special commutative rings (13F99)

Cites Work

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• On non-standard uniserial modules over valuation domains and their quotients
• Equimorphism classes of uniserial modules over valuation domains
• Arbitrarily large indecomposable divisible torsion modules over certain valuation domains
• Around classification theory of models
• On divisible modules over valuation domains
• Nonstandard uniserial modules over valuation domains
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• Some properties of direct sums of uniserial modules over valuation domains
• Equivalent Categories of Divisible Modules
• Kaplansky's Problem on Valuation Rings
• Monoid rings which are valuation rings
• The hierarchy of uniserial modules over a valuation domain
• Cotorsion modules

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