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A Counterexample for a Conjecture about the Catenarity of Polynomial Rings

✍ Scribed by Mabrouk Ben Nasr; Noômen Jarboui

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
64 KB
Volume
248
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

This paper solves a long-standing open question: it is known that, if R is a Noetherian ring such that R X is catenarian, then so is R X Y , and, hence, R is universally catenarian; yet the non-Noetherian case remains unsolved. We do provide here an answer with a two-dimensional coequidimensional counterexample.  2002 Elsevier Science (USA)

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