Noetherian local rings with Buchsbaum associated graded rings

DOI10.1016/0021-8693(84)90037-1zbMath0532.13011OpenAlexW2085856089MaRDI QIDQ788773

Shiro Goto

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90037-1

zbMATH Keywords

associated graded ringlocal cohomologyBuchsbaum ringHilbert Samuel series

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Ideals and multiplicative ideal theory in commutative rings (13A15) Local cohomology and algebraic geometry (14B15)

Related Items (22)

Buchsbaumness in Rees modules associated to ideals of minimal multiplicity in the equi-\(\mathbb I\)-invariant case ⋮ On \({\mathfrak m}\)-full powers of parameter ideals ⋮ Asymptotic Property of the 𝕀-Invariant of the Associated Graded Modules ⋮ When the associated graded ring of a semigroup ring is complete intersection ⋮ Buchsbaumness of the associated graded rings of filtration ⋮ Type of blowing-up over a Buchsbaum ring ⋮ Buchsbaum homogeneous algebras with minimal multiplicity ⋮ On the associated graded ring of a semigroup ring ⋮ On linear maximal buchsbaum modules and the syzygy modules ⋮ Descent from the form ring and buchsbaum rings ⋮ The associated graded modules of Buchsbaum modules with respect to \({\mathfrak m}\)-primary ideals in the equi-\(\mathbb{I}\)-invariant case ⋮ On the structure of the fiber cone of ideals with analytic spread one ⋮ Idealizations of maximal Buchsbaum modules over a Buchsbaum ring ⋮ Buchsbaumness in the Rees modules associated to \(\mathfrak m\)-primary ideals in the one-dimensional case. ⋮ On the Buchsbaumness of the Associated Graded Ring of a One-Dimensional Local Ring ⋮ On standard ideals. ⋮ Buchsbaumness in Rees algebras associated to ideals of minimal multiplicity ⋮ Toward a theory of generalized Cohen-Macaulay modules ⋮ Toward a theory of generalized Cohen-Macaulay modules ⋮ 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 ⋮ The structure of sally modules and Buchsbaumness of associated graded rings

Cites Work

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• Local Cohomology Modules for Normal Domains
• On the Cohen-Macaulayfication of certain Buchsbaum rings

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