Hilbert coefficients of ideals under perturbation of an ideal

Let (R, m) be a noetherian local ring, J an m-primary ideal of R and I = (f1, ..., fr) an ideal generated by a filter regular sequence f1, ..., fr of R. In this paper, we will prove the preserve of Hilbert coefficients of R/I with respect to J under J-adic perturbation of I, provided that J is a pa...

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Bibliographic Details

Published in:	Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên
Main Authors:	Cao Huy Linh, Ton That Quoc Tan
Format:	Article
Language:	English
Published:	HUJOS 2024-06-01
Subjects:	Hilbert coefficient small perturbation perturbation Hilbert perturbation index Cohen-Macaulay deviation Buchsbaum invariant
Online Access:	https://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/7062