Lifting chains of prime ideals

DOI10.1016/S0022-4049(02)00214-1zbMath1073.13003arXivmath/0209296OpenAlexW1969850643MaRDI QIDQ1869189

Holger Brenner

Publication date: 9 April 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209296

zbMATH Keywords

going downgoing upchain lifting property

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (5)

A note on lifting of chains of prime ideals ⋮ Direct limits of Cohen-Macaulay rings ⋮ Desingularization of regular algebras ⋮ CONSTRUCTIVE KRULL DIMENSION I: INTEGRAL EXTENSIONS ⋮ On chain morphisms of commutative rings

Cites Work

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• Submersion et descente. (Submersion and descent)
• Lifting chains of prime ideals to paravaluation rings
• Lifting up an infinite chain of prime ideals to a valuation ring

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