Chern coefficients and Cohen–Macaulay rings

In this study, we investigate the relationship between the index of reducibility and Chern coefficients for primary ideals. Therefore, the main result of this study provides a characterization of a Cohen–Macaulay ring in terms of its index of reducibility, Cohen–Macaulay type, and the Chern coeffici...

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Bibliographic Details
Published in:	Journal of algebra Vol. 490; pp. 316 - 329
Main Author:	Le Truong, Hoang
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 15-11-2017
Subjects:	Chern coefficient Cohen–Macaulay Hilbert coefficient Index of reducibility Irreducible submodule Parameter ideal 13H15 Hilbert coefficient Parameter ideal 13A30 Cohen–Macaulay Irreducible submodule Index of reducibility 13B22 Chern coefficient 13H10
Online Access:	Get full text
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Summary:	In this study, we investigate the relationship between the index of reducibility and Chern coefficients for primary ideals. Therefore, the main result of this study provides a characterization of a Cohen–Macaulay ring in terms of its index of reducibility, Cohen–Macaulay type, and the Chern coefficients for parameter ideals. As corollaries to the main theorem, we obtain characterizations of a Gorenstein ring in terms of its Chern coefficients for parameter ideals.
ISSN:	0021-8693 1090-266X
DOI:	10.1016/j.jalgebra.2017.07.012