Some chain conditions in pullbacks

DOI10.1007/s00605-009-0172-5zbMath1200.13013OpenAlexW2060381996MaRDI QIDQ5961999

Mohamed Jaouhar Ben Abdallah, Noômen Jarboui

Publication date: 16 September 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-009-0172-5

zbMATH Keywords

transcendence degreepullback\(C\)-ringaltitude formula

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)

Cites Work

• Universally catenarian domains of the type \(A + I\)
• Universally catenarian integral domains
• On Jaffard domains
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Topologically defined classes of commutative rings
• Residually algebraic pairs of rings
• On questions related to stably strong S-domains
• Radical valuatif et sous-extensions
• Quelques proprietes des chaines dideaux dans les anneaux A + XB[X]
• Sur quelques propriétés des sous-anneaux de la forme D+I dun anneau intègre
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