\(j\)-multiplicity and depth of associated graded modules

DOI10.1016/j.jalgebra.2013.01.001zbMath1285.13007arXiv1101.2281OpenAlexW2964104033MaRDI QIDQ376015

Claudia Polini, Yu Xie

Publication date: 1 November 2013

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

Full work available at URL: https://arxiv.org/abs/1101.2281

zbMATH Keywords

Hilbert functionCohen-MacaulayHilbert coefficientsassociated graded rings\(j\)-multiplicityresidual intersections

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (11)

On the first generalized Hilbert coefficient and depth of associated graded rings ⋮ Multiplicity of the saturated special fiber ring of height three Gorenstein ideals ⋮ Generalized stretched ideals and Sally's conjecture ⋮ Residual intersections and core of modules ⋮ Equations defining certain graphs ⋮ Residual intersections and modules with Cohen-Macaulay Rees algebra ⋮ Artin-Nagata properties, minimal multiplicities, and depth of fiber cones ⋮ Generalized multiplicities of edge ideals ⋮ Multiplicity of the saturated special fiber ring of height two perfect ideals ⋮ On Special Fiber Rings of Modules ⋮ Multiplicities of classical varieties

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