Ideal theory in two-dimensional regular local domains and birational extensions

DOI10.1080/00927879508825373zbMath0833.13005OpenAlexW2063102032MaRDI QIDQ4843192

David C. Lantz, William J. Heinzer

Publication date: 10 September 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825373

zbMATH Keywords

two-dimensional domainblow-upsHilbert-Samuel polynomialdimension tworegular local domaincomplete idealsfactorization of complete ideals\(e_ 1\)-ideals

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Ideals and multiplicative ideal theory in commutative rings (13A15) Regular local rings (13H05)

Related Items (1)

Every local ring is dominated by a one-dimensional local ring

Cites Work

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• On unique and almost unique factorization of complete ideals. II
• Birational extensions in dimension two and integrally closed ideals
• Coefficient ideals in and blowups of a commutative Noetherian domain
• Sequence of valuation ideals of prime divisors of the second kind in 2- dimensional regular local rings
• First coefficient domains and ideals of reduction number one
• On the Valuations Centered in a Local Domain
• Coefficient Ideals
• Embeddings of Certain Curves in the Affine Plane
• A Note on Analytically Unramified Local Rings
• Polynomial Ideals Defined by Infinitely Near Base Points

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