Essential domains and two conjectures in dimension theory

Author:

Fontana M.,Kabbaj S.

Abstract

This note investigates two long-standing conjectures on the Krull dimension of integer-valued polynomial rings and of polynomial rings in the context of (locally) essential domains.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference34 articles.

1. On Jaffard domains;Anderson, David F.;Exposition. Math.,1988

2. Noncatenary factorial domains;Anderson, David F.;Comm. Algebra,1989

3. Universally catenarian integral domains;Bouvier, Alain;Adv. in Math.,1988

4. Examples of Jaffard domains;Bouvier, Alain;J. Pure Appl. Algebra,1988

5. Dimension de l’anneau des polynômes à valeurs entières;Cahen, Paul-Jean;Manuscripta Math.,1990

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