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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HUJOS
2024-06-01
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| Series: | Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên |
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| Online Access: | https://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/7062 |
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| _version_ | 1832557826294153216 |
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| author | Cao Huy Linh Ton That Quoc Tan |
| author_facet | Cao Huy Linh Ton That Quoc Tan |
| author_sort | Cao Huy Linh |
| collection | DOAJ |
| description |
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.
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| format | Article |
| id | doaj-art-4f5d2d3ab1194cbeb0ece7afb7fbcc62 |
| institution | Kabale University |
| issn | 1859-1388 2615-9678 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | HUJOS |
| record_format | Article |
| series | Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên |
| spelling | doaj-art-4f5d2d3ab1194cbeb0ece7afb7fbcc622025-02-03T01:57:38ZengHUJOSTạp chí Khoa học Đại học Huế: Khoa học Tự nhiên1859-13882615-96782024-06-011331B10.26459/hueunijns.v133i1B.7062Hilbert coefficients of ideals under perturbation of an idealCao Huy Linh0Ton That Quoc Tan1Department of Mathematics, College of Education, Hue University , 34 Le Loi, Hue, VietnamDepartment of Mathematics, FPT University, Danang , Viet Nam 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://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/7062Hilbert coefficientsmall perturbationperturbationHilbert perturbation indexCohen-Macaulay deviationBuchsbaum invariant |
| spellingShingle | Cao Huy Linh Ton That Quoc Tan Hilbert coefficients of ideals under perturbation of an ideal Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên Hilbert coefficient small perturbation perturbation Hilbert perturbation index Cohen-Macaulay deviation Buchsbaum invariant |
| title | Hilbert coefficients of ideals under perturbation of an ideal |
| title_full | Hilbert coefficients of ideals under perturbation of an ideal |
| title_fullStr | Hilbert coefficients of ideals under perturbation of an ideal |
| title_full_unstemmed | Hilbert coefficients of ideals under perturbation of an ideal |
| title_short | Hilbert coefficients of ideals under perturbation of an ideal |
| title_sort | hilbert coefficients of ideals under perturbation of an ideal |
| topic | Hilbert coefficient small perturbation perturbation Hilbert perturbation index Cohen-Macaulay deviation Buchsbaum invariant |
| url | https://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/7062 |
| work_keys_str_mv | AT caohuylinh hilbertcoefficientsofidealsunderperturbationofanideal AT tonthatquoctan hilbertcoefficientsofidealsunderperturbationofanideal |