ON MAXIMAL NON-UNIVERSALLY CATENARIAN SUBRINGS

DOI10.1142/S021949880800293XzbMath1173.13006OpenAlexW1968980682MaRDI QIDQ3602710

Noômen Jarboui, Mabrouk Ben Nasr

Publication date: 12 February 2009

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949880800293x

zbMATH Keywords

pullbackaltitude formulaoverringcatenarian domainstrong S-domainpair of rings

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 (1)

Ring extensions with finitely many non-Artinian intermediate rings

Cites Work

• Unnamed Item
• Universally catenarian integral domains
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Maximal non-Jaffard subrings of a field
• A counterexample for a conjecture about the catenarity of polynomial rings.
• Pairs of domains where all intermediate domains are Jaffard
• MAXIMAL NON-UNIVERSALLY CATENARIAN SUBRINGS OF A FIELD: THE NON-INTEGRALLY CLOSED CASE

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