Invariants of Cohen-Macaulay rings associated to their canonical ideals

被引：9

作者：

Ghezzi, L. ^{[1
]}

Goto, S. ^{[2
]}

Hong, J. ^{[3
]}

Vasconcelos, W. V. ^{[4
]}

机构：

[1] CUNY, New York City Coll Technol, Dept Math, 300 Jay St, Brooklyn, NY 11201 USA

[2] Meiji Univ, Sch Sci & Technol, Dept Math, Tama Ku, 1-1-1 Higashi Mita, Kawasaki, Kanagawa 2148571, Japan

[3] Southern Connecticut State Univ, Dept Math, 501 Crescent St, New Haven, CT 06515 USA

[4] Rutgers State Univ, Dept Math, 110 Frelinghuysen Rd, Piscataway, NJ 08854 USA

来源：

JOURNAL OF ALGEBRA | 2017年 / 489卷

关键词：

Canonical degree; Cohen-Macaulay type; Analytic spread; Roots; Reduction number; GORENSTEIN RINGS; MODULES;

D O I：

10.1016/j.jalgebra.2017.05.042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to introduce new invariants of Cohen Macaulay local rings. Our focus is the class of Cohen- Macaulay local rings that admit a canonical ideal. Attached to each such ring R with a canonical ideal C, there are integers- the type of R, the reduction number of C-that provide valuable metrics to express the deviation of R from being a Gorenstein ring. We enlarge this list with other integers- the roots of R and several canonical degrees. The latter are multiplicity based functions of the Rees algebra of C. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：506 / 528

页数：23

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