scientific article

DOI10.1512/iumj.1982.31.31061zbMath0475.13014OpenAlexW4245349772MaRDI QIDQ3931523

Jimmy T. Arnold

Publication date: 1982

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1982.31.31061

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Dedekind domainKrull domainSFT-ringPruefer domainKrull dimension of power series ring

Mathematics Subject Classification ID

Commutative rings and modules of finite generation or presentation; number of generators (13E15) 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 (25)

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 ⋮ On power series rings over valuation domains ⋮ Noetherian-like properties in polynomial and power series rings ⋮ Prime \(t\)-ideals in power series rings over a discrete valuation domain ⋮ Krull dimension of power series rings ⋮ 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 ⋮ Anti-Archimedean property and the formal power series rings ⋮ Catenarity of formal power series rings over a pullback ⋮ Krull dimension and generic fibres for mixed polynomial and power series integral domains ⋮ On the prime spectrum, Krull dimension and catenarity of integral domains of the form \(A+ XBX\) ⋮ Piecewise noetherian rings ⋮ Chains of prime ideals in power series rings ⋮ A localization of a power series ring over a Prüfer domain ⋮ Krull dimension of mixed extensions ⋮ A Note ont-SFT-rings ⋮ Integrally Closed Domains with Only Finitely Many Star Operations ⋮ Anti-archimedean rings and power series rings ⋮ PrimeT-Ideals in Polynomial and Power Series Rings Over a Pseudo-Valuation Domain ⋮ On Močkor's question ⋮ The SFT property does not imply finite dimension for power series rings. ⋮ Strong convergence properties of sft rings ⋮ Higher order \(z\)-ideals of special rings

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