Given a local Cohen–Macaulay ring (R,m), we study the interplay between the integral closedness, or even the normality, of an m-primary R-ideal I and conditions on the Hilbert coefficients of I . We relate these properties to the depth of the associated graded ring of I .

Depth of associated graded rings via Hilbert coefficients of ideals

ROSSI, MARIA EVELINA
2005-01-01

Abstract

Given a local Cohen–Macaulay ring (R,m), we study the interplay between the integral closedness, or even the normality, of an m-primary R-ideal I and conditions on the Hilbert coefficients of I . We relate these properties to the depth of the associated graded ring of I .
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/211242
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