Ideal topologies, local cohomology and connectedness

被引：22
|
作者：
Divaani-Aazar, K
Schenzel, P
机构：
[1] Inst Studies Theoret Phys & Math, Tehran, Iran
[2] Univ Halle Wittenberg, Fachbereich Math & Informat, D-06099 Halle Saale, Germany
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2001年 / 131卷
关键词：
D O I：
10.1017/S0305004101005229
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let a be an ideal of a local ring (R, m) and let N be a finitely generated R-module of dimension d. It is shown that H-a(d)(N) similar or equal to H-m(d)(N)/Sigma (n is an element ofN)<m > (0: (Hmd(N))a(n)), where for an Artinian R-module X we put <m >X = boolean AND (n is an element ofN) m(n)X. As a consequence several vanishing and connectedness results are deduced.
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页码：211 / 226
页数：16
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