A note on Chern coefficients and Cohen–Macaulay rings
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.