On Hilbert coefficients and sequentially Cohen-Macaulay rings
Commutative Algebra
2021-03-23 v1
Abstract
In this paper, we explore the relation between the index of reducibility and the Hilbert coefficients in local rings. Consequently, the main result of this study provides a characterization of a sequentially Cohen-Macaulay ring in terms of its Hilbert coefficients for non-parameter ideals. As corollaries to the main theorem, we obtain characterizations of a Gorenstein/Cohen-Macaulay ring in terms of its Chern coefficients for parameter ideals.
Cite
@article{arxiv.2103.11334,
title = {On Hilbert coefficients and sequentially Cohen-Macaulay rings},
author = {Kazuho Ozeki and Hoang Le Truong and Hoang Ngoc Yen},
journal= {arXiv preprint arXiv:2103.11334},
year = {2021}
}
Comments
14 pages. arXiv admin note: text overlap with arXiv:1508.02800