A new depth and the annihilation of local cohomology modules

被引：1
|
作者：
Tang, Zhongming [1 ]
机构：
[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
ARCHIV DER MATHEMATIK | 2008年 / 90卷 / 03期
基金：
中国国家自然科学基金;
关键词：
local cohomology; local-global principle; annihilation; depth;
D O I：
10.1007/s00013-007-2101-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let J subset of I be two proper ideals of a commutative Noetherian ring and M a finitely generated module. Strong relative depth is defined and characterized. It is proved that this depth is just the maximum integer n such that H-I(i)(M) can be annihilated by some power of J for all i <= n. It turns out that the local-global principle for the annihilation of local cohomology modules can be formulated as a natural property of this new depth.
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页码：200 / 208
页数：9
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