Sally modules and associated graded rings

2002/10/15 by Alberto Corso, Claudia Polini, Maria Vaz Pinto
Mathematics · #math.AC

paper · pdf

published as Comm. Algebra 26 (1998), 2689-2708 · 20 pages

arxiv created 2002/10/15 · arxiv updated 2009/11/30

Abstract

We study the depth properties of the associated graded ring of an m-primary ideal I in terms of numerical data attached to the ideal I. We also find bounds on the Hilbert coefficients of I by means of the Sally module S_J(I) of I with respect to a minimal reduction J of I.

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