Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • 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
The Nakayama Property of a Module and Related Concepts
Stockholm University, Faculty of Science, Department of Mathematics.
2015 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 43, no 12, 5131-5140 p.Article in journal (Refereed) Published
Abstract [en]

Three related properties of a module are investigated in this article, namely the Nakayama property, the Maximal property, and the S-property. A module M has the Nakayamapropertyif aM=M for an ideal a implies that sM=0 for some s∈a+1. A module M has the Maximal property if there is in M a maximal proper submodule, and finally, M is said to have the S-property if S^{−1}M = 0 for a multiplicatively closed set S implies that sM=0 for some s∈S. 

Place, publisher, year, edition, pages
2015. Vol. 43, no 12, 5131-5140 p.
Keyword [en]
Nakayama property, maximal property, module
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-119935DOI: 10.1080/00927872.2014.958849ISI: 000361540800008OAI: oai:DiVA.org:su-119935DiVA: diva2:849524
Available from: 2015-08-28 Created: 2015-08-28 Last updated: 2017-12-04Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Gottlieb, Christian
By organisation
Department of Mathematics
In the same journal
Communications in Algebra
Mathematics

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
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • 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