Asymptotic sequences
DOI10.1016/0021-8693(83)90099-6zbMath0522.13003OpenAlexW4212935727MaRDI QIDQ1055822
Publication date: 1983
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(83)90099-6
Cohen-Macaulay ringassociated primeNoetherianasymptotic sequenceasymptotic gradequasi-unmixed local ringR-sequencesgrade of idealintegral closure of ideal
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)
Related Items (22)
Cites Work
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- Integrally closed ideals and asymptotic prime divisors
- A brief survey and history of asymptotic prime divisors
- Independent elements, integrally closed ideals, and quasiunmixedness
- New characterizations of quasi-unmixed, unmixed, and Macaulay local domains
- On asymptotic prime divisors
- Independent elements and asymptotic sequences
- Locally quasi-unmixed Noetherian rings and ideals of the principal class
- Five theorems on Macaulay rings
- Some asymptotic properties of powers of ideals
- Note on a paper of Samuel concerning asymptotic properties of ideals
- Rings associated with ideals and analytic spread
- A theorem on integral closures of ideals in semi-local rings
- On Quasi-Unmixed Semi-Local Rings and the Altitude Formula
- On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)
- Note on coefficient fields of complete local rings
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