Cohen-Macaulay graded rings associated to ideals

DOI10.1353/ajm.1996.0049zbMath0878.13002OpenAlexW1973257311MaRDI QIDQ5689694

Shiro Goto, Yukio Nakamura, Kohji Nishida

Publication date: 6 February 1997

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm118.6.html

zbMATH Keywords

analytic deviationassociated graded ringRees algebraCohen-Macaulay graded rings

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 (17)

The depth of the associated graded ring of ideals with any reduction number ⋮ Generalized stretched ideals and Sally's conjecture ⋮ Cohen-macaulay associated graded rings for ideals which are not generic complete intersectons ⋮ Cohen-Macaulayness of Rees algebras of diagonal ideals ⋮ On a-invariant formulas ⋮ Residual intersections and modules with Cohen-Macaulay Rees algebra ⋮ Burch's inequality and the depth of the blow up rings of an ideal. ⋮ On the depth of the associated graded ring of a filtration ⋮ Ideals of analytic deviation one with respect to a Cohen-Macaulay module ⋮ Cohen–Macaulayness of Rees Algebras of Modules ⋮ Buchsbaumness in Rees algebras associated to ideals of minimal multiplicity ⋮ Necessary and sufficient conditions for the Cohen-Macaulayness of form rings ⋮ Embeddings of certain graded rings into their canonical modules ⋮ The Castelnuovo regularity of the Rees algebra and the associated graded ring ⋮ Gorenstein graded rings associated to ideals ⋮ On the depth of the associated graded ring of an ideal. ⋮ Gorenstein associated graded rings of analytic deviation two ideals.

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