Adjacent integrally closed ideals in dimension two

DOI10.1016/0022-4049(93)90051-TzbMath0782.13002MaRDI QIDQ1803857

Sunsook Noh

Publication date: 29 June 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

regular local ringmultiplicitiesfactorisationRees valuationsadjacent idealsnumber of complete ideals

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15) Regular local rings (13H05)

Related Items (8)

Adjacent Ideals to Simple Complete Ideals in Two-Dimensional Regular Local Rings ⋮ Adjacent integrally closed ideals in 2-dimensional regular local rings ⋮ Powers of simple complete ideals in two-dimensional regular local rings ⋮ Simple complete ideals in two-dimensional regular local rings ⋮ ALMOST ADJACENT IDEALS IN TWO-DIMENSIONAL MUHLY RATIONAL SINGULARITIES ⋮ Valuation ideals of order one in 2-dimensional regular local rings ⋮ Some results relating to adjacent ideals in dimension two ⋮ On Adjacent Ideals in Two-Dimensional Rational Singularities

Cites Work

• Birational extensions in dimension two and integrally closed ideals
• Pseudo-rational local rings and a theorem of Briancon-Skoda about integral closures of ideals
• Sequence of valuation ideals of prime divisors of the second kind in 2- dimensional regular local rings
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Zero-Dimensional Valuation Ideals Associated with Plane Curve Branches
• On the Valuations Centered in a Local Domain
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