Sally modules and associated graded rings

Mathematics – Commutative Algebra

Scientific paper

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20 pages

Scientific paper

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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