Hilbert coefficients of ideals under perturbation of an ideal

Các tác giả

  • Linh Cao Huy
  • Tan Ton That Quoc

Từ khóa

Hilbert coefficient, small perturbation, perturbation, Hilbert perturbation index, Cohen-Macaulay deviation, Buchsbaum invariant, extended degree, filter regular sequence, d-sequence

DOI:

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

Tóm tắt

Let (R, m) be a noetherian local ring, J an m-primary ideal of R andI = (f1, ..., fr) an ideal generated by a filter regular sequence f1, ..., fr of R. In thispaper, we will prove the preserve of Hilbert coefficients of R/I with respect to Junder J-adic perturbation of I, provided that J is a parameter ideal generated by ad-sequence of R/(f1, ..., fi) for i = 1, ..., r.  

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Tài liệu tham khảo

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Đã Xuất bản

2024-06-27

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Original Article