Constructing (non-)Catenarian rings

DOI10.1016/J.JALGEBRA.2021.12.015zbMath1484.13028OpenAlexW4200068554MaRDI QIDQ2075938

Y. Azimi

Publication date: 16 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.12.015

zbMATH Keywords

trivial extensionamalgamated duplicationamalgamated algebracatenary ring

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (3)

Hilbert rings with maximal ideals of different heights and unruly Hilbert rings ⋮ Associated prime ideals of the amalgamated algebra ⋮ Linkage property under the amalgamated construction

Cites Work

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• Universally Catenarian Domains of D + M Type
• On the Chain Problem of Prime Ideals
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• Amalgamated algebras along an ideal
• Characterization of Completions of Unique Factorization Domains
• Prüfer conditions in amalgamated algebras
• Pr\"ufer-like conditions on an amalgamated algebra along an ideal

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