The associated graded modules of Buchsbaum modules with respect to \({\mathfrak m}\)-primary ideals in the equi-\(\mathbb{I}\)-invariant case

DOI10.1006/jabr.1999.8063zbMath0982.13001OpenAlexW2003687804MaRDI QIDQ1972023

Kikumichi Yamagishi

Publication date: 22 June 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8063

zbMATH Keywords

Buchsbaum modulelocal cohomology moduleassociated graded moduleBuchsbaumness\(\mathbb{I}\)-invariant

Mathematics Subject Classification ID

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

Related Items

Buchsbaumness in Rees modules associated to ideals of minimal multiplicity in the equi-\(\mathbb I\)-invariant case ⋮ Hilbert coefficients and Buchsbaumness of associated graded rings. ⋮ Asymptotic Property of the 𝕀-Invariant of the Associated Graded Modules ⋮ Buchsbaumness of the associated graded rings of filtration ⋮ The equality \(I^2=QI\) in Buchsbaum rings ⋮ Buchsbaumness in the Rees modules associated to \(\mathfrak m\)-primary ideals in the one-dimensional case. ⋮ On the Buchsbaum associated graded modules with respect to \(\mathfrak m\)-primary ideals whose reduction numbers are at most one ⋮ Buchsbaumness of certain generalization of the associated graded modules in the equi-\(\mathbb I\)-invariant case

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