Krull-dimension of the power series ring over a nondiscrete valuation domain is uncountable

DOI10.1016/j.jalgebra.2012.05.017zbMath1279.13020OpenAlexW1975722401MaRDI QIDQ373856

Byung Gyun Kang, Mi Hee Park

Publication date: 25 October 2013

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

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021869312002785

zbMATH Keywords

valuation domainKrull dimensionpower series ringring of entire functions

Mathematics Subject Classification ID

Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Formal power series rings (13F25)

Related Items (13)

Krull dimension of a power series ring over a valuation domain ⋮ On a theorem by Brewer ⋮ On power series rings over valuation domains ⋮ On the generalized Krull property in power series rings ⋮ How to Construct Huge Chains of Prime Ideals in Power Series Rings ⋮ Power series over integral domains of Krull type ⋮ Krull dimension of power series rings ⋮ The Krull dimension of power series rings over non-SFT rings ⋮ Krull dimension of power series rings over non-SFT domains ⋮ An infinite cardinal-valued Krull dimension for rings ⋮ Chains of prime ideals in power series rings ⋮ A localization of a power series ring over a Prüfer domain ⋮ Unnamed Item

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