Prime divisors and divisorial ideals

DOI10.1016/0022-4049(89)90133-3zbMath0678.13002OpenAlexW2050627578MaRDI QIDQ1123931

Daniel Katz, Stephen McAdam, Louis J. jun. Ratliff

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90133-3

zbMATH Keywords

ideals in a Noetherian ring

Mathematics Subject Classification ID

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

Related Items

Certain ideals for which \(I_ 1 \dots I_ g=I_ 1\cap \dots \cap I_ g\) ⋮ Asymptotic stability of primes associated to homogeneous components of multigraded modules ⋮ Superficial sets of elements for sets of ideals ⋮ Primes associated to multigraded modules. ⋮ Asymptotic behaviour of certain sets of prime ideals ⋮ Residual division, semi-prime operations, and a theorem of Sakuma and Okuyama ⋮ Asymptotic Periodicity of Primes Associated to Multigraded Modules ⋮ A short proof of a result of Katz and West ⋮ Asymptotic behaviour of integral closures of ideals ⋮ On the grade and cograde of a Noetherian filtration ⋮ Bounded deviations ⋮ On integral closure and asymptotic behaviour

Cites Work

• Asymptotic prime divisors and going down
• On the symbolic rees ring of a primary ideal
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