On Finite Saturated Chains of Overrings

DOI10.1080/00927872.2010.542789zbMath1239.13016OpenAlexW2022141136MaRDI QIDQ2888565

Noômen Jarboui, Essebti Massaoud

Publication date: 1 June 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.542789

zbMATH Keywords

valuation domainprime idealKrull dimensionPrüfer domainintegral domainoverringintegral closureminimal ring extensionsaturated chainmaximal non-valuation subring(Descending chain condition) d.c.c

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Polynomials over commutative rings (13B25) Valuations and their generalizations for commutative rings (13A18) Extension theory of commutative rings (13B02) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (3)

Quasi-Prüfer Extensions of Rings ⋮ Finite maximal chains of commutative rings ⋮ Commutative rings with infinitely many maximal subrings

Cites Work

• Unnamed Item
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Some remarks on residually algebraic pairs of rings
• Pairs of domains where all intermediate domains are Jaffard
• Homomorphismes minimaux d'anneaux
• A question about maximal non-valuation subrings
• Minimal Overrings of an Integrally Closed Domain

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