Algebra i logika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Logika:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Algebra i logika, 2020, Volume 59, Number 2, Pages 215–238
DOI: https://doi.org/10.33048/alglog.2020.59.204 (Mi al944) 		 
Identities of prime alternative algebras

S. V. Pchelintsevab

a Moscow Center for Fundamental and Applied Mathematics
b Financial University under the Government of the Russian Federation, Moscow
Full-text PDF (280 kB)
References:
PDF
HTML
DOI: https://doi.org/10.33048/alglog.2020.59.204
Abstract: An identity of degree 6 is given which is satisfied in an alternative monster and in a Skosyrskii algebra. It is proved that this identity is not a consequence of the alternativity identity, the commutativity identity, and an identity of nil-index 3. Also it is the only identity of degree at most 6, which is not a consequence of the identities mentioned. Therefore, the alternative monster and the Skosyrskii algebra are known to satisfy five independent identities.
Keywords: identity, independence of identities, alternative monster, Skosyrskii algebra.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics
Received: 02.10.2019
Revised: 14.07.2020
English version:
Algebra and Logic, 2020, Volume 59, Issue 2, Pages 147–164
DOI: https://doi.org/10.1007/s10469-020-09587-8
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
Language: Russian
Citation: S. V. Pchelintsev, “Identities of prime alternative algebras”, Algebra Logika, 59:2 (2020), 215–238; Algebra and Logic, 59:2 (2020), 147–164
Citation in format AMSBIB
\Bibitem{Pch20}
\by S.~V.~Pchelintsev
\paper Identities of prime alternative algebras
\jour Algebra Logika
\yr 2020
\vol 59
\issue 2
\pages 215--238
\mathnet{http://mi.mathnet.ru/al944}
\crossref{https://doi.org/10.33048/alglog.2020.59.204}
\transl
\jour Algebra and Logic
\yr 2020
\vol 59
\issue 2
\pages 147--164
\crossref{https://doi.org/10.1007/s10469-020-09587-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000553738100001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85088798409}
Linking options:
  • https://www.mathnet.ru/eng/al944
  • https://www.mathnet.ru/eng/al/v59/i2/p215
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
    Statistics & downloads:
    Abstract page:205
    Full-text PDF :27
    References:30
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024