Hostname: page-component-8448b6f56d-cfpbc Total loading time: 0 Render date: 2024-04-17T22:06:05.765Z Has data issue: false hasContentIssue false
  • English
  • Français

Ideal topologies, local cohomology and connectedness

Published online by Cambridge University Press:  26 October 2001

K. DIVAANI-AAZAR  and
P. SCHENZEL
K. DIVAANI-AAZAR
Affiliation:
Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-1795, Tehran, Iran. e-mail: kdevania@rose.ipm.ac.ir
P. SCHENZEL
Affiliation:
Martin-Luther-Universität Halle-Wittenberg, Fachbereich Mathematik und Informatik, D–06 099 Halle (Saale), Germany. e-mail: schenzel@mathematik.uni-halle.de
Get access Rights & Permissions [Opens in a new window]

Abstract

Let [afr ] be an ideal of a local ring (R, [mfr ]) and let N be a finitely generated R-module of dimension d: It is shown that Hd[afr ](N) ≃ Hd[mfr ](N)/[sum ]n∈ℕ〈[mfr ]〉 (0: Hd[mfr ](N)[afr ]n); where for an Artinian R-module X we put 〈[mfr ]〉X = ∩n∈ℕ[mfr ]nX. As a consequence several vanishing and connectedness results are deduced.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 131 , Issue 2 , September 2001 , pp. 211 - 226
Copyright
2001 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)