Product of distinct simple integrally closed ideals in 2-dimensional regular local rings

DOI10.1090/S0002-9939-97-03886-0zbMath0870.13001OpenAlexW1587332318MaRDI QIDQ4332952

Mee-Kyoung Kim

Publication date: 19 February 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03886-0

zbMATH Keywords

valuationtwo-dimensional regular local ringreduction of an idealfactorization of integrally closed ideals

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) Regular local rings (13H05)

Related Items

Finitely supported \(\ast\)-simple complete ideals and multiplicities in a regular local ring ⋮ Integral closure and other operations on monomial ideals ⋮ Integrally closed ideals in regular local rings of dimension two ⋮ Factorization of an integrally closed ideal in two-dimensional regular local rings ⋮ The Rees Valuations of Complete Ideals in a Regular Local Ring ⋮ Integrally Closed Ideals and Rees Valuation

Cites Work

• Birational extensions in dimension two and integrally closed ideals
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item