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.

引用

页码：211 / 226

页数：16

共 18 条

[11] THE COLOCALIZATION OF AN ARTINIAN MODULE [J].