On the Gorenstein injective dimension and Bass formula

被引：2
|
作者：
Khosh-Ahang, Fahimeh [1 ]
机构：
[1] Ferdowsi Univ Mashhad, Dept Math, Mashhad, Iran
来源：
ARCHIV DER MATHEMATIK | 2008年 / 90卷 / 01期
关键词：
Gorenstein injective dimension; Krull dimension; Bass formula; local cohomology module;
D O I：
10.1007/s00013-007-2450-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we compare Krull dimension, Gorenstein injective dimension and injective dimension of a module in several cases. In fact, we establish some generalizations of the Bass formula. To this end, we generalize the Grothendieck non-vanishing theorem to a class of modules larger than finitely generated modules.
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页码：18 / 23
页数：6
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