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.

引用

页码：18 / 23

页数：6

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