A valuation theorem for Noetherian rings

DOI10.1307/mmj/20206022arXiv2011.14749OpenAlexW3109888268MaRDI QIDQ6187397

Antoni Rangachev

Publication date: 15 January 2024

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.14749

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Integral closure of commutative rings and ideals (13B22) Valuations and their generalizations for commutative rings (13A18) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Schemes and morphisms (14A15)

Cites Work

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• The red book of varieties and schemes
• Associated points and integral closure of modules
• Associated primes and integral closure of Noetherian rings
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• Valuations Associated with Ideals (II)
• Reduction of modules
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)
• Algèbre commutative

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