Top local cohomology modules

被引：11
|
作者：
Dibaei, Mohammad T. [1 ]
Yassemi, Siamak
机构：
[1] Teacher Training Univ, Mosaheb Inst Math, Tehran, Iran
[2] Univ Tehran, Dept Math, Tehran, Iran
[3] Inst Studies Theoret Phys & Math, Tehran, Iran
来源：
ALGEBRA COLLOQUIUM | 2007年 / 14卷 / 02期
关键词：
local cohomology; attached primes; cohomological dimension; Lichtenbaum-Hartshorne Vanishing Theorem;
D O I：
10.1142/S1005386707000211
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a finitely generated module M over a commutative Noetherian local ring (R, M), it is shown that there exist only a finite number of non-isomorphic top local cohomology modules H-a(dim(M)) (M) for all ideals a of R. It is also shown that for a given integer r >= 0, if H-a(r)(R/p) is zero for all p in Supp(M), then H-a(i)(M) = 0 for all i >= r.
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页码：209 / 214
页数：6
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