Radical valuatif et sous-extensions

DOI10.1080/00927879808826309zbMath0933.13008OpenAlexW2053532204MaRDI QIDQ4212543

Ahmed Ayache, Paul-Jean Cahen

Publication date: 29 March 2000

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

Full work available at URL: https://doi.org/10.1080/00927879808826309

zbMATH Keywords

Krull dimensiondimension inequalityfinite type extensionJaffard ring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Extension theory of commutative rings (13B02) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

Paul-Jean Cahen (1946–2019), Universally catenarian domains of the type \(A + I\), Some chain conditions in pullbacks, On questions related to stably strong S-domains, Maximal non-Noetherian subrings of a domain., Sur un exemple de wadsworth

Cites Work

• Unnamed Item
• Universally catenarian integral domains
• Construction B, I, D et anneaux localement ou residuellement de Jaffard. (B, I, D construction and locally or residually Jaffard rings)
• Examples of Jaffard domains
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Topologically defined classes of commutative rings
• Krull dimension, transcendence degree and subalgebras of finitely generated algebras
• Hilbert subalgebras of finitely generated algebras
• Overrings and divisorial ideals of rings of the form \(D+M\)