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Pullbacks and universal catenarity. (English) Zbl 1151.13302

Summary: 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.

MSC:

13B02 Extension theory of commutative rings
13C15 Dimension theory, depth, related commutative rings (catenary, etc.)
13A18 Valuations and their generalizations for commutative rings
13B25 Polynomials over commutative rings
13E05 Commutative Noetherian rings and modules
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