Anti-archimedean rings and power series rings
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Publication:4210797
DOI10.1080/00927879808826338zbMath0912.13008OpenAlexW2057177466MaRDI QIDQ4210797
Byung Gyun Kang, Mi Hee Park, Daniel D. Anderson
Publication date: 10 May 1999
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879808826338
Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Regular local rings (13H05) Formal power series rings (13F25)
Related Items (21)
ON INTEGRAL DOMAINS IN WHICH EVERY ASCENDING CHAIN ON PRINCIPAL IDEALS IS S-STATIONARY ⋮ Krull Dimension in Power Series Ring Over an Almost Pseudo-Valuation Domain ⋮ Dp-minimal integral domains ⋮ S-NOETHERIAN RINGS ⋮ S-Noetherian Rings of the Forms 𝒜[X and 𝒜[[X]]] ⋮ On reduced archimedean skew power series rings ⋮ Chain conditions on composite Hurwitz series rings ⋮ A new characterization of GCD domains of formal power series ⋮ On \(S\)-strong Mori domains ⋮ Generalization of Artinian rings and the formal power series rings ⋮ Transcendental degree in power series rings ⋮ Anti-Archimedean property and the formal power series rings ⋮ Unique factorization and S-Picard groups of domains of power series ⋮ SFT stability via power series extension over Prüfer domains ⋮ Unnamed Item ⋮ A localization of a power series ring over a Prüfer domain ⋮ Krull dimension of mixed extensions ⋮ Archimedean domains of skew generalized power series ⋮ S-Noetherian Properties of Composite Ring Extensions ⋮ On Močkor's question ⋮ Generalizations of Nagata’s theorem
Cites Work
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- The rings R(X) and \(R<X>\)
- Chains of prime ideals in polynomial rings
- On a Class of Archimedean Integral Domains
- Pairs of Rings with the Same Prime Ideals
- A Note on the Quotient Field of the Domain DX
- On Krull's conjecture concerning completely integrally closed integrity domains, I
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