关于陈氏系数和Cohen-Macaulay环的注释

IF 0.8 4区数学 Q2 MATHEMATICS

Arkiv for Matematik Pub Date : 2021-08-25 DOI:10.4310/ARKIV.2020.v58.n1.a12

Nguyen Thi Thanh Tam, Hoang Le Truong

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引用次数: 5

摘要

本文研究了初等理想的可约性指标与陈氏系数之间的关系。作为应用，我们给出了关于noether局部环中某些参数理想的Cohen-Macaulay环的类型、不可约多重性和chen系数的刻画。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on Chern coefficients and Cohen–Macaulay rings

In this paper, we investigate the relationship between the index of reducibility and Chern coefficients for primary ideals. As an application, we give characterizations of a Cohen-Macaulay ring in terms of its type, irreducible multiplicity, and Chern coefficients with respect to certain parameter ideals in Noetherian local rings.

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