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Pullbacks and Universal Catenarity

Noômen Jarboui and Ayada Jerbi

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This paper deals with the universal catenarity of a pullback construction ring. It seeks necessary and sufficient conditions for such a pullback to have the universal catenarity, improving some known results. Its main result leads to new examples of universally catenarian domains.

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Publ. Mat., Volume 52, Number 2 (2008), 365-375.

First available in Project Euclid: 5 August 2008

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Zentralblatt MATH identifier

Primary: 13B02: Extension theory
Secondary: 13C15: Dimension theory, depth, related rings (catenary, etc.) 13A17 13A18: Valuations and their generalizations [See also 12J20] 13B25: Polynomials over commutative rings [See also 11C08, 11T06, 13F20, 13M10] 13E05: Noetherian rings and modules

Krull dimension Prüfer domain Noetherian domain strong S-domain universally catenarian domain algebraic extension modulo $I$


Jarboui, Noômen; Jerbi, Ayada. Pullbacks and Universal Catenarity. Publ. Mat. 52 (2008), no. 2, 365--375.

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