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arxiv: math/0210230 · v1 · submitted 2002-10-15 · 🧮 math.AC

Sally modules and associated graded rings

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keywords associatedgradedidealsallyattachedboundscoefficientsdata
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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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