关于第二希尔伯特系数和cohen-macaulay环

HPU2 Journal of Science Natural Sciences and Technology Pub Date : 2023-08-31 DOI:10.56764/hpu2.jos.2023.2.2.3-10

Van-Kien Do, Khanh-Linh Ha, Dai-Tan Tran, Ngoc-Yen Hoang

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引用次数: 0

摘要

研究了诺瑟局部环中参数理想的第二希尔伯特系数的性质。本文给出了Cohen-Macaulay局部环的二阶Hilbert系数和参数理想的可约性指标的刻画。

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ON THE SECOND HILBERT COEFFICIENTS AND COHEN-MACAULAY RINGS

We explore the behavior of the second Hilbert coefficients of parameter ideals in Noetherian local rings. In this paper, we provide characterizations of a Cohen-Macaulay local ring in terms of the second Hilbert coefficients and the index of reducibility of parameter ideals.

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HPU2 Journal of Science Natural Sciences and Technology

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