Power series rings over globalized pseudo-valuation domains

DOI10.1016/0022-4049(88)90104-1zbMath0664.13007OpenAlexW1975340998MaRDI QIDQ1115489

Florida Girolami

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90104-1

zbMATH Keywords

Prüfer domainSFT-propertyglobalized pseudo-valuation domainKrull dimension of formal power series ring

Mathematics Subject Classification ID

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) Formal power series rings (13F25)

Related Items (9)

Krull Dimension in Power Series Ring Over an Almost Pseudo-Valuation Domain ⋮ Globalized Pseudo-valuation Domains of the Form Int(D) ⋮ Krull dimension of power series rings over a globalized pseudo-valuation domain ⋮ Rings of formal power series with homeomorphic prime spectra ⋮ Krull dimension and generic fibres for mixed polynomial and power series integral domains ⋮ Note on valuative dimension in power series rings ⋮ The catenarian property of power series rings over a globalized pseudo- valuation domain ⋮ Dimension de Krull des anneaux de séries formelles sur un produit fibré. (Krull dimension of formal power series rings on a fibre product) ⋮ Catenarian Property of Mixed Polynomial and Power Series Rings Over a Pullback

Cites Work

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• Locally pseudo-valuation domains
• Topologically defined classes of commutative rings
• Rings with Noetherian spectrum
• Power series rings over Prüfer domains
• Pairs of Rings with the Same Prime Ideals
• Two constructions of prüfer domains.
• Krull Dimension in Power Series Rings

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