Cohen-macaulay associated graded rings for ideals which are not generic complete intersectons

DOI10.1080/00927879508825482zbMath0834.13007OpenAlexW2032753174MaRDI QIDQ4852260

Ian M. Aberbach

Publication date: 1 April 1996

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

Full work available at URL: https://doi.org/10.1080/00927879508825482

zbMATH Keywords

Cohen-Macaulay local ringanalytic deviationanalytic spreadreduction number

Mathematics Subject Classification ID

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14)

Related Items (2)

Burch's inequality and the depth of the blow up rings of an ideal. ⋮ Necessary and sufficient conditions for the Cohen-Macaulayness of form rings

Cites Work

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• An improved Briançon-Skoda theorem with applications to the Cohen- Macaulayness of Rees algebras
• The equations of Rees algebras of ideals with linear presentation
• Cohen-Macaulay Rees algebras of ideals having analytic deviation two
• Cohen-Macaulay Rees algebras and degrees of polynomial relations
• Gorenstein graded rings associated to ideals of analytic deviation 2
• Reduction numbers, Rees algebras and Pfaffian ideals
• Local reduction numbers and Cohen-Macaulayness of associated graded rings
• Rees Algebras of Ideals Having Small Analytic Deviation
• On the equations of Rees algebras.
• Powers of Ideals Having Small Analytic Deviation
• Asymptotic Stability of Ass(M/I n M)
• Rees rings and associated graded rings of ideals having higher analytic deviation
• Reduction number boundson analytic deviation 2 ideals andcohen-macaulayness of associated graded rings
• Cohen-Macaulay graded rings associated to ideals

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