Krull dimension of power series rings over a globalized pseudo-valuation domain

DOI10.1016/j.jpaa.2009.08.007zbMath1241.13003OpenAlexW2132821771MaRDI QIDQ847685

Mi Hee Park

Publication date: 19 February 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.08.007

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Valuations and their generalizations for commutative rings (13A18) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Regular local rings (13H05) Formal power series rings (13F25) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (5)

Core of ideals in integral domains ⋮ SFT-stability and Krull dimension in power series rings over an almost pseudo-valuation domain ⋮ Krull dimension and generic fibres for mixed polynomial and power series integral domains ⋮ Note on valuative dimension in power series rings ⋮ PrimeT-Ideals in Polynomial and Power Series Rings Over a Pseudo-Valuation Domain

Cites Work

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• Locally pseudo-valuation domains
• SFT stability via power series extension over Prüfer domains
• Power series rings over globalized pseudo-valuation domains
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Power series rings over discrete valuation rings
• Integral dependence in power series rings
• Overrings and divisorial ideals of rings of the form \(D+M\)
• Algebraic Extensions of Power Series Rings
• Krull Dimension in Power Series Rings

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