Essential domains and two conjectures in dimension theory

DOI10.1090/S0002-9939-04-07502-1zbMath1059.13008arXivmath/0309360OpenAlexW1552107662WikidataQ122905193 ScholiaQ122905193MaRDI QIDQ4813668

Marco Fontana, Salah-Eddine Kabbaj

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309360

zbMATH Keywords

UFDKrull dimensionKrull domainJaffard domainKronecker function ringPVMDvaluative dimensioninteger-valued polynomial ringlocally essential domain

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

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