Note on asymptotic prime divisors and symbolic powers of primary ideals

DOI10.1007/BF01163514zbMath0504.13001OpenAlexW1998219026MaRDI QIDQ1835704

Louis J. jun. Ratliff

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173373

zbMATH Keywords

Cohen-Macaulay ringNoetherian ringsymbolic powersasymptotic prime divisorspowers of primary idealunmixed local ring

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 (4)

On the asymptotic cograde of an ideal ⋮ Asymptotic sequences and Rees rings ⋮ Asymptotic prime divisors and integral extension rings ⋮ The topology determined by the symbolic powers of primary ideals

Cites Work

• Unnamed Item
• Integrally closed ideals and asymptotic prime divisors
• A brief survey and history of asymptotic prime divisors
• Asymptotic prime divisors and going down
• Independent elements, integrally closed ideals, and quasiunmixedness
• On asymptotic prime divisors
• Notes on ideal covers and associated primes
• Five theorems on Macaulay rings
• On the number of Elements Independent with respect to an Ideal
• Asymptotic Stability of Ass(M/I n M)
• On prime divisors of \(I^n\), \(n\) large

This page was built for publication: Note on asymptotic prime divisors and symbolic powers of primary ideals