On the Hilbert coefficients and reduction numbers
Vol. 129 No. 1D (2020), Original Article
Vol. 129 No. 1D (2020)

On the Hilbert coefficients and reduction numbers

Original Article
https://doi.org/10.26459/hueuni-jns.v129i1D.5803
Published 2020-06-30
Ton That Quoc Tan
Faculty of Natural Sciences, Duy Tan University, 254 Nguyen Van Linh St., Thanh Khe, Da Nang, Vietnam
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Tan TTQ. On the Hilbert coefficients and reduction numbers. hueuni-jns [Internet]. 2020Jun.30 [cited 2024Dec.22];129(1D):67-70. Available from: https://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/5803
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Abstract

Let (R, m) be a nonetherian local ring with dim(R) = d ≥ 1 and depth(R) ≥ d − 1. Let I be an m-primary ideal of R. In this paper, we study the non-positivity of the Hilbert coefficients ei(I) under some conditions.

https://doi.org/10.26459/hueuni-jns.v129i1D.5803
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