The piecewise Noetherian property in power series rings over a valuation domain

DOI10.1016/j.jpaa.2016.01.004zbMath1336.13010OpenAlexW2295947407MaRDI QIDQ258142

Mi Hee Park

Publication date: 17 March 2016

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.2016.01.004

zbMATH Keywords

power seriesvaluation domainNoetherian ringpiecewise Noetherian ring

Mathematics Subject Classification ID

Valuation rings (13F30) Formal power series rings (13F25) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (4)

Integral domains issued from associated primes ⋮ Noetherian-like properties in polynomial and power series rings ⋮ Anti-Archimedean property and the formal power series rings ⋮ A localization of a power series ring over a Prüfer domain

Cites Work

• Unnamed Item
• SFT stability via power series extension over Prüfer domains
• On Močkor's question
• Generalized Dedekind domains and their injective modules
• Power series rings over Prüfer domains
• Minimal Primes of Ideals and Integral Ring Extensions
• Piecewise noetherian rings
• A Note on the Quotient Field of the Domain DX
• When $(D \lbrack\lbrack X \rbrack\rbrack)_{P \lbrack\lbrack X \rbrack\rbrack$ is a Valuation Ring
• Krull Dimension in Power Series Rings

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