Piecewise noetherian rings

DOI10.1080/00927878408823127zbMath0562.13013OpenAlexW2093367449MaRDI QIDQ5187390

William D. Weakley, John A. Beachy

Publication date: 1984

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878408823127

zbMATH Keywords

polynomial ringlocalizationpiecewise Noetherian ringintegral closureLaskerianfactor ringfinite ideal-length

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (12)

Generalized Dedekind domains and their injective modules ⋮ Integral domains issued from associated primes ⋮ Noetherian-like properties in polynomial and power series rings ⋮ Rings with finite top ⋮ Unnamed Item ⋮ A localization of a power series ring over a Prüfer domain ⋮ Modules and Rings Satisfying (ACCR) ⋮ On ϕ-piecewise Noetherian rings ⋮ When is length a length function? ⋮ A note on generalized Krull domains ⋮ The piecewise Noetherian property in power series rings over a valuation domain ⋮ On noncommutative piecewise Noetherian rings

Cites Work

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• Reduced rank in Noetherian rings
• Dual generalizations of the Artinian and Noetherian conditions
• The Krull intersection theorem. II
• Rings with Noetherian spectrum
• Rings with finite reduced rank
• Dimension de krull et codeviation. Application au theoreme d'eakin
• Krull dimension

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