On the symbolic rees ring of a primary ideal

DOI10.1080/00927878608823349zbMath0609.13011OpenAlexW2071963025MaRDI QIDQ5903331

Louis J. jun. Ratliff, Daniel Katz

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00927878608823349

zbMATH Keywords

Krull domainsymbolic Rees ringNoetherianness

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (11)

Symbolic Rees Algebras ⋮ Note on ideal-transforms, Rees rings, and Krull rings ⋮ Local cohomology bounds and the weak implies strong conjecture in dimension 4 ⋮ Prime divisors and divisorial ideals ⋮ Analytic spread of filtrations and symbolic algebras ⋮ Symbolic Rees algebras and set-theoretic complete intersections ⋮ On the structure of Noetherian symbolic Rees algebras ⋮ Residual division, semi-prime operations, and a theorem of Sakuma and Okuyama ⋮ The divisor class group of ordinary and symbolic blow-ups ⋮ Analytic spread modulo an element and symbolic Rees algebras ⋮ Bounded deviations

Cites Work

• On the finite generation of symbolic blow-ups
• Notes on essentially powers filtrations
• The converse to a well known theorem on Noetherian rings

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