Constructing chains of primes in power series rings

DOI10.1016/j.jalgebra.2011.03.012zbMath1231.13014OpenAlexW2002659596MaRDI QIDQ652176

K. Alan Loper, Thomas G. Lucas

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.03.012

zbMATH Keywords

ultrafilterAlmost Dedekind domain

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (18)

Ideal structure of rings of analytic functions with non-Archimedean metrics ⋮ Krull dimension of a power series ring over a valuation domain ⋮ On a theorem by Brewer ⋮ On power series rings over valuation domains ⋮ Maximal covers of chains of prime ideals ⋮ 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 ⋮ Rings of very strong finite type ⋮ The Krull dimension of power series rings over non-SFT rings ⋮ Krull dimension of power series rings over non-SFT domains ⋮ When \(D((X))\) and \(D\{\{X\}\}\) are Prüfer domains ⋮ CONSTRUCTING CHAINS OF PRIMES IN POWER SERIES RINGS, II ⋮ Dedekind-Mertens lemma and content formulas in power series rings ⋮ Chains of prime ideals in power series rings ⋮ Unnamed Item ⋮ The Krull dimension of power series rings over almost Dedekind domains

Cites Work

• Unnamed Item
• Sequence domains and integer-valued polynomials
• Overrings of Prüfer domains
• The transform formula for ideals
• On the prime ideals of the ring of entire functions
• Factoring ideals in almost Dedekind domains
• Krull Dimension in Power Series Rings
• Sur une propriété des ensembles ordonnés

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