liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
Local cohomology and Serre subcategories
Teacher Training Univ, Fac Math Sci, Tehran 15614, Iran.
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2008 (English)In: Journal of Algebra, ISSN 0021-8693, Vol. 320, no 3, 1275-1287 p.Article in journal (Refereed) Published
Abstract [en]

The membership of the local cohomology modules H-a(n) (M) of a module M in certain Serre subcategories of the category of modules is studied from below (i < n) and from above (i > n). Generalizations of depth and regular sequences are defined. The relation of these notions to local cohomology are found. It is shown that the membership of the local cohomology modules of a finite module in a Serre subcategory in the upper range just depends on the support of the module. (C) 2008 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages
2008. Vol. 320, no 3, 1275-1287 p.
Keyword [en]
local cohomology, Serre subcategory, S-regular sequences, S-depth
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-45879DOI: 10.1016/j.jalgebra.2008.04.002OAI: diva2:266775
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-10

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Melkersson, Leif
By organisation
The Institute of TechnologyApplied Mathematics
In the same journal
Journal of Algebra
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 391 hits
ReferencesLink to record
Permanent link

Direct link