ON THE ASSOCIATED GRADED RINGS OF IDEALS OF COHEN-MACAULAY RINGS

DOI10.1081/AGB-120013206zbMath1058.13003OpenAlexW2011490888MaRDI QIDQ4532444

Hsin-Ju Wang

Publication date: 2002

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

Full work available at URL: https://doi.org/10.1081/agb-120013206

zbMATH Keywords

multiplicityCohen-Macaulay local ringassociated graded ringSally's conjecturealmost maximal depth

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) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

• Cohen-Macaulay local rings of embedding dimension e+d-2
• Super-regular sequences
• On the depth of the associated graded ring of an \(m\)-primary ideal of a Cohen-Macaulay local ring
• On Cohen-Macaulay local rings with embedding dimension \(e+d-2\)
• Primary ideals with good associated graded ring
• An interpretation of depth(G(I)) and e₁(I) via the Sally module
• Form rings and regular sequences
• Sally modules and associated graded rings
• On the depth of the tangent cone and the growth of the Hilbert function
• A conjecture of j. sally
• On associated graded rings having almost maximal depth
• Hilbert Coefficients and the Depths of Associated Graded Rings
• A 𝑑-dimensional extension of a lemma of Huneke’s and formulas for the Hilbert coefficients
• On the associated graded rings of ideals of reduction number 2

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