On the second Hilbert coefficients and Cohen-Macaulay rings

Authors

  • Do Van Kien Department of Mathematics, Hanoi Pedagogical University 2, 32 Nguyen Van Linh, Phuc Yen, Vinh Phuc, Vietnam
  • Khanh-Linh Ha Department of Mathematics, Thai Nguyen University of education, 20 Luong Ngoc Quyen, Thai Nguyen City, Thai Nguyen, Vietnam
  • Dai-Tan Tran Institute of Mathematics, VAST, 18 Hoang Quoc Viet, 10307 Hanoi, Viet Nam
  • Ngoc-Yen Hoang Department of Mathematics, Thai Nguyen University of education, 20 Luong Ngoc Quyen, Thai Nguyen City, Thai Nguyen, Vietnam

DOI:

https://doi.org/10.56764/hpu2.jos.2023.2.2.3-10

Abstract

In this paper, we investigate the relationship between second Hilbert coeficients and the index of reducibility of parameter ideals. We give some characterazations of Cohen-Macaulay rings via the above invariants.

References

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Published

31-08-2023

How to Cite

Van-Kien, Ha, K.-L., Tran, D.-T., & Hoang, N.-Y. (2023). On the second Hilbert coefficients and Cohen-Macaulay rings. HPU2 Journal of Science: Natural Sciences and Technology, 2(2), 3–10. https://doi.org/10.56764/hpu2.jos.2023.2.2.3-10

Volume and Issue

Vol. 2 No. 2 (2023): HPU2.Nat.Sci.Tech

Section

Natural Sciences and Technology

Copyright and License

Copyright (c) 2023 Do Van Kien, Khanh-Linh Ha, Dai-Tan Tran, Ngoc-Yen Hoang

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.