On the Krull dimension of noetherian rings

DOI10.1016/J.JALGEBRA.2009.04.029zbMath1174.13018OpenAlexW2030511206MaRDI QIDQ731909

Lionel Ducos

Publication date: 9 October 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.04.029

zbMATH Keywords

Krull dimensionnoetherian ringsBass' stable range theoremKrull principal ideal theorem

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Commutative Noetherian rings and modules (13E05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Rings of fractions and localization for commutative rings (13B30)

Related Items (4)

Krull dimension and monomial orders ⋮ On the dimensions of graded rings ⋮ A constructive notion of codimension ⋮ Polynômes à Valeurs Entières: Un Anneau de Prüfer de Dimension 2

Cites Work

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• Serre's conjecture
• A nilregular element property
• Dimension de Heitmann des treillis distributifs et des anneaux commutatifs
• CONSTRUCTIVE KRULL DIMENSION I: INTEGRAL EXTENSIONS

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