Hilbert coefficients of ideals under perturbation of an ideal
Tập 133 Số 1B (2024), Nghiên cứu
Tập 133 Số 1B (2024)

Hilbert coefficients of ideals under perturbation of an ideal

Nghiên cứu
https://doi.org/10.26459/hueunijns.v133i1B.7062
Đã xuất bản 2024-06-27
Ton That Quoc Tan
Department of Mathematics, FPT University, Danang , Viet Nam
Cao Huy Linh
Department of Mathematics, College of Education, Hue University , 34 Le Loi, Hue, Vietnam

Tóm tắt

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 parameter ideal generated by a
d-sequence of R/(f1, ..., fi) for i = 1, ..., r.

 

https://doi.org/10.26459/hueunijns.v133i1B.7062

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