SFT stability via power series extension over Prüfer domains

DOI10.1007/s00229-007-0073-7zbMath1166.13021OpenAlexW2079037083MaRDI QIDQ946869

Byung Gyun Kang, Mi Hee Park

Publication date: 25 September 2008

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-007-0073-7

zbMATH Keywords

Prüfer domainpower series ringSFT ring(Krull) dimension of a ring

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Formal power series rings (13F25)

Related Items

Krull Dimension in Power Series Ring Over an Almost Pseudo-Valuation Domain ⋮ Krull dimension of a power series ring over a valuation domain ⋮ Krull dimension of power series rings over a globalized pseudo-valuation domain ⋮ Integral domains issued from associated primes ⋮ Rings of very strong finite type ⋮ Krull dimension of power series rings over non-SFT domains ⋮ SFT-stability and Krull dimension in power series rings over an almost pseudo-valuation domain ⋮ Krull dimension of mixed extensions ⋮ Armendariz and SFT properties in subring retracts ⋮ The SFT property and the ring \(R((X))\) ⋮ The piecewise Noetherian property in power series rings over a valuation domain

Cites Work

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• Completion of a Prüfer domain
• On Močkor's question
• The SFT property does not imply finite dimension for power series rings.
• Power series rings over Prüfer domains
• Algebraic Extensions of Power Series Rings
• Anti-archimedean rings and power series rings
• A Note on the Quotient Field of the Domain DX
• Krull Dimension in Power Series Rings

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