Divisible modules over discrete finite dimension valuation domains

DOI10.1016/0021-8693(86)90172-9zbMath0604.13001OpenAlexW2010033931MaRDI QIDQ1083484

Stefan Mittelbach

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90172-9

zbMATH Keywords

torsion modulediscrete valuation domainsdivisible modulesfinite Krull dimension

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Valuation rings (13F30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Divisibility and factorizations in commutative rings (13A05) Rings of fractions and localization for commutative rings (13B30)

Cites Work

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• Injective Modules Over Prufer Rings
• Divisible Modules
• Modules Over Dedekind Rings and Valuation Rings
• Uniserial modules over valuation rings

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