Integral degree of a ring, reduction numbers and uniform Artin-Rees numbers

被引：6
|
作者：
Giral, Jose M. [2 ]
Planas-Vilanova, Francesc [1 ]
机构：
[1] Univ Politecn Cataluna, Dept Matemat Aplicada 1, ETSEIB, E-08028 Barcelona, Spain
[2] Univ Barcelona, Dept Algebra & Geometria, E-08007 Barcelona, Spain
来源：
JOURNAL OF ALGEBRA | 2008年 / 319卷 / 08期
关键词：
reduction number; integral closure; Artin-Rees number;
D O I：
10.1016/j.jalgebra.2007.10.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The supremum of reduction numbers of ideals having principal reductions is expressed in terms of the integral degree, a new invariant of the ring, which is finite provided the ring has finite integral closure. As a consequence, one obtains bounds for the Castelnuovo-Mumford regularity of the Rees algebra and for the Artin-Rees numbers. (C) 2007 Elsevier Inc. All rights reserved.
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页码：3398 / 3418
页数：21
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