Necessary and sufficient conditions for the Cohen-Macaulayness of form rings

DOI10.1006/jabr.1998.7615zbMath0930.13003OpenAlexW1994271142MaRDI QIDQ1284095

Eero Hyry

Publication date: 17 June 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7615

zbMATH Keywords

Cohen-Macaulay ringdepthgraded ringgraded local cohomologyCohen-Macaulayness of form rings

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) Cohen-Macaulay modules (13C14)

Related Items (2)

Hilbert coefficients and the Gorenstein property of the associated graded ring. ⋮ Coefficient Ideals and the Gorenstein Property of Blowups

Cites Work

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• On the Cohen-Macaulayness of multi-Rees algebras and Rees algebras of powers of ideals
• An improved Briançon-Skoda theorem with applications to the Cohen- Macaulayness of Rees algebras
• Cohen-Macaulayness in graded algebras
• Local reduction numbers and Cohen-Macaulayness of associated graded rings
• On relative regular sequences
• Rees Algebras of Ideals Having Small Analytic Deviation
• Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings
• Powers of Ideals Having Small Analytic Deviation
• Form rings and regular sequences
• Cohen-macaulay associated graded rings for ideals which are not generic complete intersectons
• Filter-regularity and cohen-macaulay multigraded rees algebras
• Cohen-Macaulay graded rings associated to ideals

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