Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771903 | Journal of Algebra | 2017 | 14 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hoang Le Truong,