Powers of simple complete ideals in two-dimensional regular local rings

DOI10.1080/00927879508825392zbMath0836.13013OpenAlexW1992839059MaRDI QIDQ4843214

Sunsook Noh

Publication date: 10 September 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825392

zbMATH Keywords

regular local ring\(v\)-idealunique factorisationadjacent idealsfirst neighborhood

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Regular local rings (13H05)

Related Items (3)

Simple complete ideals in two-dimensional regular local rings ⋮ Valuation ideals of order one in 2-dimensional regular local rings ⋮ First neighborhood complete ideals in two-dimensional Muhly local domains

Cites Work

• 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
• Rational singularities, with applications to algebraic surfaces and unique factorization
• On the Valuations Centered in a Local Domain
• Simple complete ideals in two-dimensional regular local rings
• Polynomial Ideals Defined by Infinitely Near Base Points

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