Buchsbaum rings with multiplicity 2

DOI10.1016/0021-8693(82)90035-7zbMath0479.13007OpenAlexW2004998211MaRDI QIDQ1161561

Shiro Goto

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)90035-7

zbMATH Keywords

local cohomology modulemaximal embedding dimensionBuchsbaum local ringmultiplicity 2non-Cohen- Macaulay ring

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Local cohomology and algebraic geometry (14B15)

Related Items (12)

Hilbert coefficients and Buchsbaumness of associated graded rings. ⋮ A Note on Quasi-Buchsbaum Rings ⋮ Testing the cohen-macaulay property under blowing up ⋮ Buchsbaumness of the associated graded rings of filtration ⋮ When is the rees algebra cohen—macaulay? ⋮ Type of blowing-up over a Buchsbaum ring ⋮ Buchsbaum homogeneous algebras with minimal multiplicity ⋮ The structure of Sally modules -- towards a theory of non-Cohen-Macaulay cases ⋮ Buchsbaum rings of maximal embedding dimension ⋮ Local Cohomology of Rees Algebras and Hilbert Functions ⋮ On the associated graded rings of parameter ideals in Buchsbaum rings ⋮ Noetherian local rings with Buchsbaum associated graded rings

Cites Work

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• On the associated graded ring of a local Cohen-Macaulay ring
• Eine Verallgemeinerung der Cohen-Macaulay Ringe und Anwendungen auf ein Problem der Multiplizitätstheorie
• Toward a Theory of Buchsbaum Singularities
• On Buchsbaum rings obtained by gluing
• Form rings and regular sequences
• On the Cohen-Macaulayfication of certain Buchsbaum rings
• Lectures on regular local rings

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