Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2017, Volume 208, Issue 4, Pages 531–545
DOI: https://doi.org/10.1070/SM8695 (Mi sm8695) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part

S. V. Pchelintsevab, O. V. Shashkova

a Financial University under the Government of the Russian Federation, Moscow
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
English version PDF (461 kB) Citations (10) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM8695
Abstract: We prove that the even part of a simple finite-dimensional right-alternative unital superalgebra over a field of characteristic 0 is semisimple if it is strongly associative.
Bibliography: 13 titles.
Keywords: simple superalgebra, right-alternative superalgebra, superalgebra with strongly associative even part.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00014-а
This research was supported by the Russian Foundation for Basic Research (grant no. 14-01-00014_a).
Received: 10.03.2016
Bibliographic databases:
UDC: 512.554.5
MSC: Primary 17A70; Secondary 17D15
Language: English
Original paper language: Russian
Citation: S. V. Pchelintsev, O. V. Shashkov, “Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part”, Sb. Math., 208:4 (2017), 531–545
Citation in format AMSBIB
\Bibitem{PchSha17}
\by S.~V.~Pchelintsev, O.~V.~Shashkov
\paper Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part
\jour Sb. Math.
\yr 2017
\vol 208
\issue 4
\pages 531--545
\mathnet{http://mi.mathnet.ru/eng/sm8695}
\crossref{https://doi.org/10.1070/SM8695}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3629084}
\zmath{https://zbmath.org/?q=an:1419.17042}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2017SbMat.208..531P}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000405685300004}
\elib{https://elibrary.ru/item.asp?id=28931465}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85021118442}
Linking options:
  • https://www.mathnet.ru/eng/sm8695
  • https://doi.org/10.1070/SM8695
  • https://www.mathnet.ru/eng/sm/v208/i4/p73
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025