uu.seUppsala University Publications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • 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
On the semigroup of square matrices
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic. (Algebra)
2008 (English)In: Algebra Colloquium, ISSN 1005-3867, E-ISSN 0219-1733, Vol. 15, no 1, 33-52 p.Article in journal (Refereed) Published
Abstract [en]

We study the structure of nilpotent subsemigroups in the semigroup M(n, F) of all n x n matrices over a field IF with respect to the operation of the usual matrix multiplication. We describe the maximal subsemigroups among the nilpotent subsemigroups of a fixed nilpotency degree and classify them up to isomorphism. We also describe isolated and completely isolated subsemigroups and conjugated elements in M(n, F).

Place, publisher, year, edition, pages
2008. Vol. 15, no 1, 33-52 p.
Keyword [en]
square matrix, semigroup, nilpotent, conjugate, isomorphism
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-105801ISI: 000252102200003OAI: oai:DiVA.org:uu-105801DiVA: diva2:222505
Available from: 2009-06-08 Created: 2009-06-08 Last updated: 2017-12-13Bibliographically approved

Open Access in DiVA

No full text

Other links

Fulltext
By organisation
Algebra, Geometry and Logic
In the same journal
Algebra Colloquium
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 429 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • 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