Integrally closed ideals and asymptotic prime divisors

DOI10.2140/pjm.1980.91.445zbMath0414.13002OpenAlexW2047507388MaRDI QIDQ599114

Louis J. jun. Ratliff

Publication date: 1980

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1980.91.445

zbMATH Keywords

integral closureassociated prrimeheight onelocal Noetherian domainsprime divisor

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Local rings and semilocal rings (13H99)

Related Items (11)

Maximum number of independent elements and dimension of prime divisors in completions of local rings ⋮ Three notes on \(R^{(1)}\) ⋮ Analytic spread and non-vanishing of asymptotic depth ⋮ Independent elements, integrally closed ideals, and quasiunmixedness ⋮ A Note on Asymptotic Prime Sequences ⋮ New characterizations of quasi-unmixed, unmixed, and Macaulay local domains ⋮ Asymptotic Sequences and Prime Divisors of the Completion of Local Rings ⋮ Independent elements, unmixedness theorems, and asymptotic prime divisors ⋮ Note on asymptotic prime divisors and symbolic powers of primary ideals ⋮ Asymptotic sequences ⋮ Five notes on asymptotic prime divisors

This page was built for publication: Integrally closed ideals and asymptotic prime divisors