Algebraic Extensions of Power Series Rings

DOI10.2307/1998571zbMath0475.13006OpenAlexW4230485779MaRDI QIDQ3931516

Jimmy T. Arnold

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998571

zbMATH Keywords

algebraic extensionformal power series ringintegral domainsquotientNoetherianintegrally closedcountably generated

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Extension theory of commutative rings (13B02) Formal power series rings (13F25) Rings of fractions and localization for commutative rings (13B30)

Related Items (8)

Krull dimension of power series rings over a globalized pseudo-valuation domain ⋮ On reduced archimedean skew power series rings ⋮ Noetherian-like properties in polynomial and power series rings ⋮ Chain of Prime Ideals in Formal Power Series Rings ⋮ SFT-stability and Krull dimension in power series rings over an almost pseudo-valuation domain ⋮ SFT stability via power series extension over Prüfer domains ⋮ Krull dimension and generic fibres for mixed polynomial and power series integral domains ⋮ Krull dimension of mixed extensions

Cites Work

• Transcendence degree in power series rings
• Integral dependence in power series rings
• A Note on the Quotient Field of the Domain DX
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