MAXIMAL NON-UNIVERSALLY CATENARIAN SUBRINGS OF A FIELD: THE NON-INTEGRALLY CLOSED CASE

DOI10.1142/S0219498807002533zbMath1143.13011OpenAlexW2006399424MaRDI QIDQ3502810

Mabrouk Ben Nasr

Publication date: 20 May 2008

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

Full work available at URL: https://doi.org/10.1142/s0219498807002533

zbMATH Keywords

Krull dimensionPrüfer domainCatenarian ringheight of a prime idealuniversally catenarian ring

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)

ON MAXIMAL NON-UNIVERSALLY CATENARIAN SUBRINGS

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
• Universally catenarian and going-down pairs of rings

This page was built for publication: MAXIMAL NON-UNIVERSALLY CATENARIAN SUBRINGS OF A FIELD: THE NON-INTEGRALLY CLOSED CASE