Sibirskii Matematicheskii Zhurnal
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



Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find






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


Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 2, Pages 385–407
DOI: https://doi.org/10.33048/smzh.2020.61.213
(Mi smj5990)
 

This article is cited in 2 scientific papers (total in 2 papers)

Simple right-alternative superalgebras with semisimple even part

S. V. Pchelintsev, O. V. Shashkov

Financial University under the Government of the Russian Federation, Moscow
Full-text PDF (543 kB) Citations (2)
References:
Abstract: We classify the unital finite-dimensional simple right-alternative superalgebras with semisimple even part and prove that each of these superalgebras is either a simple associative matrix Wall algebra, or a simple alternative Shestakov superalgebra, or an asymmetric double, or an abelian superalgebra of type $\roman B_{n\mid n}$, $n\geq 2$, or $\roman B_{2\mid2}(\nu)$. Furthermore, we obtain a description of right-alternative superalgebras with simple even part; every such superalgebra either is simple or has the odd part with zero product.
Keywords: unital simple right-alternative superalgebra.
Received: 02.07.2019
Revised: 02.07.2019
Accepted: 25.12.2019
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 2, Pages 304–321
DOI: https://doi.org/10.1134/S0037446620020135
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
Language: Russian
Citation: S. V. Pchelintsev, O. V. Shashkov, “Simple right-alternative superalgebras with semisimple even part”, Sibirsk. Mat. Zh., 61:2 (2020), 385–407; Siberian Math. J., 61:2 (2020), 304–321
Citation in format AMSBIB
\Bibitem{PchSha20}
\by S.~V.~Pchelintsev, O.~V.~Shashkov
\paper Simple right-alternative superalgebras with semisimple even part
\jour Sibirsk. Mat. Zh.
\yr 2020
\vol 61
\issue 2
\pages 385--407
\mathnet{http://mi.mathnet.ru/smj5990}
\crossref{https://doi.org/10.33048/smzh.2020.61.213}
\elib{https://elibrary.ru/item.asp?id=43293491}
\transl
\jour Siberian Math. J.
\yr 2020
\vol 61
\issue 2
\pages 304--321
\crossref{https://doi.org/10.1134/S0037446620020135}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000540148100013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85086333282}
Linking options:
  • https://www.mathnet.ru/eng/smj5990
  • https://www.mathnet.ru/eng/smj/v61/i2/p385
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:174
    Full-text PDF :68
    References:29
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024