On the depth of the associated graded ring of an ideal.

DOI10.1006/jabr.2001.9002zbMath1070.13004OpenAlexW2019857545MaRDI QIDQ1599086

Laura Ghezzi

Publication date: 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9002

zbMATH Keywords

associated graded ringdepthlocal Cohen-Macaulay ringblow-up ringsfailure of Cohen-Macaulay propertySerre propertiessmall reduction number

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)

Related Items (7)

The depth of the associated graded ring of ideals with any reduction number ⋮ Generalized stretched ideals and Sally's conjecture ⋮ On the depth of the Rees algebra of an ideal module ⋮ On the depth of the associated graded ring of a filtration ⋮ Cohen-Macaulayness of Special Fiber Rings ⋮ Results on the Ratliff–Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves ⋮ AN ALGORITHM FOR COMPUTING THE RATLIFF–RUSH CLOSURE

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