On the Gorenstein property of the associated graded ring and the Rees algebra of an ideal

DOI10.1006/jabr.1993.1051zbMath0776.13004OpenAlexW1993754335MaRDI QIDQ1210080

Akira Ooishi

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1051

zbMATH Keywords

associated graded ringRees algebraGorenstein property

Mathematics Subject Classification ID

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

Related Items (19)

Tangent cones at curve and surface singularities ⋮ Quasi-socle ideals and Goto numbers of parameters ⋮ Quasi-socle ideals in local rings with Gorenstein tangent cones ⋮ On Rees algebras with a Gorenstein Veronese subring ⋮ Gorensteinness in Rees algebras of powers of parameter ideals ⋮ ON THE COHEN–MACAULAYNESS OF SOME GRADED RINGS ⋮ Hilbert coefficients and the Gorenstein property of the associated graded ring. ⋮ On the conductor of the blowing-up of a one-dimensional Gorenstein local ring ⋮ The Gorenstein property of the associated graded rings of powers of an ideal ⋮ Coefficient Ideals and the Gorenstein Property of Blowups ⋮ On monomial curves obtained by gluing ⋮ Goto Numbers of a Numerical Semigroup Ring and the Gorensteiness of Associated Graded Rings ⋮ Fiber Cones of Ideals with Almost Minimal Multiplicity ⋮ On Special Fiber Rings of Modules ⋮ Embeddings of certain graded rings into their canonical modules ⋮ The Gorenstein and complete intersection properties of associated graded rings ⋮ Gorenstein graded rings associated to ideals ⋮ On the Gorenstein property of the associated graded ring of a power of an ideal ⋮ On the Gorenstein property of form rings

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