A note on Itoh (\(\operatorname{e}\))-valuation rings of an ideal

DOI10.1016/j.jalgebra.2017.11.008zbMath1405.13007arXiv1607.05341OpenAlexW2963086044MaRDI QIDQ683500

Louis J. jun. Ratliff, Youngsu Kim, David E. Rush

Publication date: 6 February 2018

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

Full work available at URL: https://arxiv.org/abs/1607.05341

zbMATH Keywords

projective equivalenceRees valuationsintegral closuresRees integers

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Valuations and their generalizations for commutative rings (13A18) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Cites Work

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• Integral closures of ideals generated by regular sequences
• A characterization of analytically unramified semi-local rings and applications
• Valuation theory
• A note on form rings and ideals
• On prime divisors of the integral closure of a principal ideal.
• Über einen Existenzsatz der Bewertungstheorie

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