On the associated graded rings of parameter ideals in Buchsbaum rings
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Publication:787208
DOI10.1016/0021-8693(83)90109-6zbMath0529.13010OpenAlexW2027522908MaRDI QIDQ787208
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)90109-6
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear free resolutions and minimal multiplicity
- Some criteria for Buchsbaum modules
- On the symmetric and Rees algebras of an ideal
- On Buchsbaum rings
- On Rees algebras over Buchsbaum rings
- Buchsbaum rings with multiplicity 2
- Buchsbaum rings of maximal embedding dimension
- Weitere Bemerkungen zu einem Problem der Schnittheorie und über ein Maß\ von A. Seidenberg für die Imperfektheit
- On the associated graded ring of a local Cohen-Macaulay ring
- On graded rings. I
- Eine Verallgemeinerung der Cohen-Macaulay Ringe und Anwendungen auf ein Problem der Multiplizitätstheorie
- Über eine Vermutung von D. A. Buchsbaum
- Toward a Theory of Buchsbaum Singularities
- On Buchsbaum rings obtained by gluing
- Über die kohomologische Charakterisierung von BUCHSBAUM‐Moduln
- Form rings and regular sequences
- Verallgemeinerte COHEN-MACAULAY-Moduln
- On the Cohen-Macaulayfication of certain Buchsbaum rings
- Lectures on regular local rings
- Contracted ideals from integral extensions of regular rings