New characterizations of quasi-unmixed, unmixed, and Macaulay local domains
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Publication:1160664
DOI10.1016/0021-8693(82)90026-6zbMath0478.13010OpenAlexW2044266081MaRDI QIDQ1160664
Publication date: 1982
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(82)90026-6
Cohen-Macaulaysystem of parametersintegral closureR-sequencecompletion of local ringdepth oneideal of principal classquasi-unmixed
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)
Related Items
Sequences and \(\text{Ker}(R[X_1,\dots,X_g\to R[tI])\)] ⋮ Integrally closed ideals, prime sequences, and macaulay local rings ⋮ Asymptotic sequences ⋮ The topology determined by the symbolic powers of primary ideals
Cites Work
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- Integrally closed ideals and asymptotic prime divisors
- The asymptotic Ass
- Prime divisors, analytic spread and filtrations
- On Rees localities and \(H_ i\)-local rings
- A theorem on prime divisors of zero and characterizations of unmixed local domains
- Ideals of the principal class, R-sequences and a certain monoidal transformation
- Five theorems on Macaulay rings
- On the Chain Problem of Prime Ideals
- Valuations Associated with Ideals
- Note on Asymptotic Prime Divisors, Analytic Spreads and the Altitude Formula
- Two Notes on Locally Macaulay Rings
- Zur Idealtheorie analytisch normaler Stellenringe.
- Note on Analytically Unramified Semi-Local Rings
- On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)
- On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)
- Note on coefficient fields of complete local rings
- Fibres formelles d'un anneau local noethérien
- Catenary Rings and the Altitude Formula
- On prime divisors of \(I^n\), \(n\) large
