Valuation ideals of order one in 2-dimensional regular local rings

DOI10.1080/00927870008826847zbMath0967.13017OpenAlexW1996225290MaRDI QIDQ4944377

Sunsook Noh

Publication date: 7 September 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008826847

zbMATH Keywords

factorizationsminimal generating setsintegrally closed idealvaluation ideal

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05)

Cites Work

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• Birational extensions in dimension two and integrally closed ideals
• Sequence of valuation ideals of prime divisors of the second kind in 2- dimensional regular local rings
• Adjacent integrally closed ideals in dimension two
• Valuations in Function Fields of Surfaces
• On the Valuations Centered in a Local Domain
• The Value Semigroups of Prime Divisors of the Second Kind in 2-Dimensional Regular Local Rings
• Simple complete ideals in two-dimensional regular local rings
• Powers of simple complete ideals in two-dimensional regular local rings
• Polynomial Ideals Defined by Infinitely Near Base Points

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