On the depth of the associated graded ring of an \(m\)-primary ideal of a Cohen-Macaulay local ring

DOI10.1006/jabr.1994.1210zbMath0810.13009OpenAlexW2045648559MaRDI QIDQ1333216

Anna Guerrieri

Publication date: 18 April 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1210

zbMATH Keywords

Cohen-Macaulay local ringassociated graded ringdepth

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 (14)

On the depth of the tangent cone and the growth of the Hilbert function ⋮ ON THE ASSOCIATED GRADED RINGS OF IDEALS OF COHEN-MACAULAY RINGS ⋮ Hilbert functions and Sally modules ⋮ On the computation of the Ratliff-Rush closure, associated graded ring and invariance of a length ⋮ On the Hilbert coefficients, depth of associated graded rings and reduction numbers ⋮ Results on the behavior of the Ratliff–Rush operation and the depth of the associated graded ring ⋮ On the associated graded rings of ideals of reduction number 2 ⋮ On associated graded rings having almost maximal depth ⋮ On the Depth of the Associated Graded Ring ⋮ FIBER CONES WITH ALMOST MAXIMAL DEPTH ⋮ Primary Ideals with Good Fiber Cone ⋮ Estimates on the depth of the associated graded ring ⋮ Sally modules and associated graded rings ⋮ The Valabrega–Valla module of monomial ideals

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