Sur quelques classes d’anneaux divisés

DOI10.1007/BF02924821zbMath0512.13007OpenAlexW2348323444MaRDI QIDQ4750761

Marco Fontana

Publication date: 1981

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02924821

zbMATH Keywords

Krull dimension of polynomial ringdivided ringcatenarian propertypseudo valuation ring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (2)

About a conjecture on Nagata rings ⋮ Universally catenarian integral domains

Cites Work

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• Topologically defined classes of commutative rings
• On locally divided integral domains and CPI-overrings
• Chains of prime ideals in polynomial rings
• Global dimension of cartesian squares
• Divided rings and going-down
• Pseudo-valuation domains
• Coherence in cartesian squares
• A note on the dimension theory of rings
• Simple Going Down
• Overring Properties of G-Domains
• Topologically Defined Classes of Going-Down Domains
• CPI-Extensions: Overrings of Integral Domains with Special Prime Spectrums
• Pairs of Rings with the Same Prime Ideals
• The Local Rings of Global Dimension Two

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