Fragmented domains have infinite Krull dimension

DOI10.1007/BF02844993zbMath1172.13311OpenAlexW2066817611MaRDI QIDQ2569605

David E. Dobbs, Coykendall, Jim

Publication date: 20 October 2005

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844993

Mathematics Subject Classification ID

Integral domains (13G05) Valuation rings (13F30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Commutative ring extensions and related topics (13B99) Arithmetic rings and other special commutative rings (13F99)

Related Items (2)

Dp-minimal integral domains ⋮ Arnold's Theorem on the Strongly Finite Type (SFT) Property and the Dimension of Power Series Rings

Cites Work

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• Ahmes expansions of formal Laurent series and a class of nonarchimedean integral domains
• Topologically defined classes of commutative rings
• On locally divided integral domains and CPI-overrings
• The spectrum of a ring as a partially ordered set
• On Chain Conditions in Integral Domains
• CPI-Extensions: Overrings of Integral Domains with Special Prime Spectrums
• On integral domains with no atoms
• Some Counterexamples Related to Integral Closure in x
• How Changing Dx Changes Its Quotient Field
• Prime Ideals in GCD-Domains
• Krull Dimension in Power Series Rings

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