The Chern Coefficient and Cohen-Macaulay rings
Commutative Algebra
2015-04-24 v1
Abstract
The purpose of this paper is to investigate a relationship between the index of reducibility and the Chern coefficient for primary ideals. Therefore, the main result of this paper gives a characterization of a Cohen-Macaulay ring in terms of its the index of reducibility, its Cohen-Macaulay type, and the Chern coefficient for parameter ideals. As corollaries to the main theorem we obtained the characterizations of a Gorenstein ring in term of its Chern coefficient for parameter ideals.
Keywords
Cite
@article{arxiv.1504.06037,
title = {The Chern Coefficient and Cohen-Macaulay rings},
author = {Hoang Le Truong},
journal= {arXiv preprint arXiv:1504.06037},
year = {2015}
}