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arXiv · 1504.06037

The Chern Coefficient and Cohen-Macaulay rings

Hoang Le Truong
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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.

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Hoang Le Truong. 2015-04-23. The Chern Coefficient and Cohen-Macaulay rings. https://arxiv.org/abs/1504.06037

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