A Note on Quasi-Buchsbaum Rings

DOI10.2307/2045021zbMath0542.13015OpenAlexW4255552310MaRDI QIDQ3329562

Shiro Goto

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045021

zbMATH Keywords

local cohomologyquasi-Buchsbaum ringsnon-Buchsbaum rings

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Local cohomology and algebraic geometry (14B15)

Related Items (10)

A Buchsbaum theory for tight closure ⋮ Buchsbaum criterion of Segre products of vector bundles on multiprojective space ⋮ Almost Buchsbaumness of some rings arising from complexes with isolated singularities ⋮ On linear maximal buchsbaum modules and the syzygy modules ⋮ Cohen-Macaulayness of large powers of Stanley-Reisner ideals ⋮ Idealizations of maximal Buchsbaum modules over a Buchsbaum ring ⋮ Maximal Buchsbaum modules over Gorenstein local rings ⋮ Index of reducibility of parameter ideals in a local ring ⋮ Tsuchihashi's cusp singularities are Buchsbaum singularities ⋮ \(F\)-injectivity and Buchsbaum singularities

Cites Work

• Unnamed Item
• Index of reducibility of parameter ideals in a local ring
• A nonzero-divisor characterization of Buchsbaum modules
• On Buchsbaum rings
• Buchsbaum rings with multiplicity 2
• Weitere Bemerkungen zu einem Problem der Schnittheorie und über ein Maß\ von A. Seidenberg für die Imperfektheit
• Eine Verallgemeinerung der Cohen-Macaulay Ringe und Anwendungen auf ein Problem der Multiplizitätstheorie
• Toward a Theory of Buchsbaum Singularities
• Über die kohomologische Charakterisierung von BUCHSBAUM‐Moduln
• Local Cohomology Modules for Normal Domains

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