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
Varieties of idempotents in nonassociative algebras
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-8422-6140
2019 (English)In: Topics in Clifford Analysis / [ed] Bernstein, Swanhild, Springer International Publishing , 2019, p. 80-112Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we study the variety of all nonassociative (NA) algebras from the idempotent point of view. We are interested, in particular, in the spectral properties of idempotents when algebra is generic, i.e. idempotents are in general position. Our main result states that in this case, there exist at least $n−1$ nontrivial obstructions (syzygies) on the Peirce spectrum of a generic NA algebra of dimension $n$. We also discuss the exceptionality of the eigenvalue $\lambda=\frac12$ which appears in the spectrum of idempotents in many classical examples of NA algebras and characterize its extremal properties in metrised algebras. solution.

Place, publisher, year, edition, pages
Springer International Publishing , 2019. p. 80-112
Series
Trends in Mathematics, ISSN 2297-0215
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:liu:diva-160301DOI: 10.1007/978-3-030-23854-4ISBN: 978-3-030-23853-7 (print)OAI: oai:DiVA.org:liu-160301DiVA, id: diva2:1352004
Conference
Special Volume in Honor of Wolfgang Sprössig
Available from: 2019-09-17 Created: 2019-09-17 Last updated: 2019-09-17

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Authority records BETA

Tkachev, Vladimir

Search in DiVA

By author/editor
Tkachev, Vladimir
By organisation
Mathematics and Applied MathematicsFaculty of Science & Engineering
Algebra and Logic

Search outside of DiVA

GoogleGoogle Scholar

doi
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
Total: 20 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