Pullbacks and Universal Catenarity

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2008 Pullbacks and Universal Catenarity

Noômen Jarboui, Ayada Jerbi

Publ. Mat. 52(2): 365-375 (2008).

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Abstract

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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Noômen Jarboui. Ayada Jerbi. "Pullbacks and Universal Catenarity." Publ. Mat. 52 (2) 365 - 375, 2008.

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Published: 2008

First available in Project Euclid: 5 August 2008

zbMATH: 1151.13302

MathSciNet: MR2436730

Subjects:

Primary: 13B02

Secondary: 13A17 , 13A18 , 13B25 , 13C15 , 13E05

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

Rights: Copyright © 2008 Universitat Autònoma de Barcelona, Departament de Matemàtiques

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Vol.52 • No. 2 • 2008

Universitat Autònoma de Barcelona, Departament de Matemàtiques

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Noômen Jarboui, Ayada Jerbi "Pullbacks and Universal Catenarity," Publicacions Matemàtiques, Publ. Mat. 52(2), 365-375, (2008)

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