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

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Cofiniteness with respect to ideals of dimension one
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.
2012 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 372, 459-462 p.Article in journal (Refereed) Published
Abstract [en]

We prove that the category of modules cofinite with respect to an ideal of dimension one in a noetherian ring is a full abelian subcategory of the category of modules. The proof is based on a criterion for cofiniteness with respect to an ideal of dimension one. Namely for such ideals it suffices that the two first Ext-modules in the definition for cofiniteness are finitely generated. This criterion is also used to prove very simply that all local cohomology modules of a finitely generated module with respect to an ideal of dimension one in an arbitrary noetherian ring are cofinite with respect to the ideal.

Place, publisher, year, edition, pages
Elsevier , 2012. Vol. 372, 459-462 p.
Keyword [en]
Cofinite module, Local cohomology module
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-86368DOI: 10.1016/j.jalgebra.2012.10.005ISI: 000311187200023OAI: oai:DiVA.org:liu-86368DiVA: diva2:576911
Available from: 2012-12-14 Created: 2012-12-14 Last updated: 2017-12-06

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Melkersson, Leif

Search in DiVA

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

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 100 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf