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.
This work is partially supported by a fund of Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.04-2017.14.
"A note on Chern coefficients and Cohen–Macaulay rings." Ark. Mat. 58 (1) 197 - 212, April 2020. https://doi.org/10.4310/ARKIV.2020.v58.n1.a12