On the Buchsbaum associated graded modules with respect to \(\mathfrak m\)-primary ideals whose reduction numbers are at most one

DOI10.1006/jabr.2000.8457zbMath0982.13002OpenAlexW2010716897MaRDI QIDQ1841821

Kikumichi Yamagishi, Yasuhiro Shimoda

Publication date: 3 May 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2000.8457

zbMATH Keywords

local cohomology modulesBuchsbaum moduleassociated graded module\(\mathbb{I}\)-invariant

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Graded rings (13A02) Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (3)

Buchsbaumness in Rees modules associated to ideals of minimal multiplicity in the equi-\(\mathbb I\)-invariant case ⋮ Asymptotic Property of the 𝕀-Invariant of the Associated Graded Modules ⋮ Buchsbaumness in the Rees modules associated to \(\mathfrak m\)-primary ideals in the one-dimensional case.

Cites Work

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• On the associated graded rings of parameter ideals in Buchsbaum rings
• Noetherian local rings with Buchsbaum associated graded rings
• Buchsbaum rings of maximal embedding dimension
• On graded rings. I
• On the Buchsbaum property of associated graded rings
• Buchsbaumness in Rees algebras associated to ideals of minimal multiplicity
• On Macaulayfication obtained by a blow-up whose center is an equi-multiple ideal. (With an appendix by Kikumichi Yamagishi)
• The theory of d-sequences and powers of ideals
• The associated graded modules of Buchsbaum modules with respect to \({\mathfrak m}\)-primary ideals in the equi-\(\mathbb{I}\)-invariant case
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings
• Idealizations of maximal Buchsbaum modules over a Buchsbaum ring
• Standard systems of parameters and their blowing-up rings.

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