Embeddings of certain graded rings into their canonical modules

DOI10.1006/jabr.1999.8270zbMath0988.13005OpenAlexW2017151185MaRDI QIDQ1570886

Shin-ichiro Iai, Shiro Goto

Publication date: 24 June 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8270

zbMATH Keywords

associated graded ringRees algebracanonical modulea-invariantfiltration of idealsminimal reduction

Mathematics Subject Classification ID

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (14)

Castelnuovo–Mumford Regularity and Gorensteinness of Fiber Cone ⋮ Gorensteinness in Rees algebras of powers of parameter ideals ⋮ A variant of Wang's theorem ⋮ Hilbert coefficients and the Gorenstein property of the associated graded ring. ⋮ Almost Gorenstein Rees algebras of pg-ideals, good ideals, and powers of the maximal ideals ⋮ Coefficient Ideals and the Gorenstein Property of Blowups ⋮ ON FILTRATIONS HAVING SMALL ANALYTIC DEVIATION ⋮ Good ideals in Gorenstein local rings obtained by idealization ⋮ Almost Gorenstein rings - towards a theory of higher dimension ⋮ The Cohen–Macaulay and Gorenstein Properties of Rings Associated to Filtrations ⋮ The Gorenstein and complete intersection properties of associated graded rings ⋮ Gorenstein graded rings associated to ideals ⋮ Gorenstein associated graded rings of analytic deviation two ideals. ⋮ The $a$-invariant and Gorensteinness of graded rings associated to filtrations of ideals in regular local rings

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