GRADED VERSION OF LOCAL COHOMOLOGY WITH RESPECT TO A PAIR OF IDEALS

被引：2
|
作者：
Lima, P. H. [1 ]
Jorge Perez, V. H. [2 ]
机构：
[1] UFM, Bacharelado Ciencia & Tecnol, Sao Luis, Brazil
[2] Univ Sao Paulo, Dept Math, Inst Math & Comp Sci, ICMC, Sao Paulo, Brazil
来源：
JOURNAL OF COMMUTATIVE ALGEBRA | 2017年 / 9卷 / 04期
基金：
巴西圣保罗研究基金会;
关键词：
Local cohomology; asymptotical stability; Artinianness; MODULES;
D O I：
10.1216/JCA-2017-9-4-545
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove some well-known results on local cohomology with respect to a pair of ideals in graded version, such as the Independence theorem, Lichtenbaum-Harshorne vanishing theorem, Basic finiteness and vanishing theorem, among others. In addition, we present a generalized version of the Melkersson theorem regarding the Artinianness of modules, and a result concerning Artinianness of local cohomology modules.
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页码：545 / 561
页数：17
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