Buchsbaumness in Rees algebras associated to ideals of minimal multiplicity

DOI10.1006/jabr.1999.7640zbMath0942.13003OpenAlexW2002661112MaRDI QIDQ1283653

Shiro Goto

Publication date: 21 August 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7640

zbMATH Keywords

associated graded ringRees algebraBuchsbaum propertyideals of minimal multiplicity

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

Hilbert series of fiber cones of ideals with almost minimal mixed multiplicity ⋮ 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 ⋮ Sally modules of rank one ⋮ Some characterizations of first neighborhood complete ideals in dimension two ⋮ The associated graded modules of Buchsbaum modules with respect to \({\mathfrak m}\)-primary ideals in the equi-\(\mathbb{I}\)-invariant case ⋮ Adjoint ideals and Gorenstein blowups in two-dimensional regular local rings ⋮ Buchsbaumness in the Rees modules associated to \(\mathfrak m\)-primary ideals in the one-dimensional case. ⋮ On the Buchsbaum property of associated graded rings ⋮ Cohen-Macaulayness and negativity of \(A\)-invariants in Rees algebras associated to \(\mathfrak m\)-primary ideals of minimal multiplicity ⋮ On the Buchsbaum associated graded modules with respect to \(\mathfrak m\)-primary ideals whose reduction numbers are at most one

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