A note on Chern coefficients and Cohen-Macaulay rings
Commutative Algebra
2021-08-26 v1
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.
Cite
@article{arxiv.2108.11079,
title = {A note on Chern coefficients and Cohen-Macaulay rings},
author = {Nguyen Thi Thanh Tam and Hoang Le Truong},
journal= {arXiv preprint arXiv:2108.11079},
year = {2021}
}