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arXiv · 2108.11079

A note on Chern coefficients and Cohen-Macaulay rings

Nguyen Thi Thanh Tam·Hoang Le Truong
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Abstract

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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Nguyen Thi Thanh Tam, Hoang Le Truong. 2021-08-25. A note on Chern coefficients and Cohen-Macaulay rings. https://doi.org/10.4310/arkiv.2020.v58.n1.a12

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