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, 2018, Volume 59, Number 6, Pages 1322–1337
DOI: https://doi.org/10.17377/smzh.2018.59.608 (Mi smj3046) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Structure of some unital simple Jordan superalgebras with associative even part

V. N. Zhelyabin

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (337 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.17377/smzh.2018.59.608
Abstract: Studying the unital simple Jordan superalgebras with associative even part, we describe the unital simple Jordan superalgebras such that every pair of even elements induces the zero derivation and every pair of two odd elements induces the zero derivation of the even part. We show that such a superalgebra is either a superalgebra of nondegenerate bilinear form over a field or a four-dimensional simple Jordan superalgebra.
Keywords: Jordan superalgebra, Grassmann superalgebra, superalgebra of bilinear form, derivation, associative commutative algebra, composition algebra, superalgebra of vector type, differential algebra, projective module.
Funding agency Grant number
Russian Science Foundation 14-21-00065
The author was supported by the Russian Science Foundation (Grant 14-21-00065).
Received: 21.03.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 6, Pages 1051–1062
DOI: https://doi.org/10.1134/S0037446618060083
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: V. N. Zhelyabin, “Structure of some unital simple Jordan superalgebras with associative even part”, Sibirsk. Mat. Zh., 59:6 (2018), 1322–1337; Siberian Math. J., 59:6 (2018), 1051–1062
Citation in format AMSBIB
\Bibitem{Zhe18}
\by V.~N.~Zhelyabin
\paper Structure of some unital simple Jordan superalgebras with associative even part
\jour Sibirsk. Mat. Zh.
\yr 2018
\vol 59
\issue 6
\pages 1322--1337
\mathnet{http://mi.mathnet.ru/smj3046}
\crossref{https://doi.org/10.17377/smzh.2018.59.608}
\elib{https://elibrary.ru/item.asp?id=38643647}
\transl
\jour Siberian Math. J.
\yr 2018
\vol 59
\issue 6
\pages 1051--1062
\crossref{https://doi.org/10.1134/S0037446618060083}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000454441000008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85059764133}
Linking options:
  • https://www.mathnet.ru/eng/smj3046
  • https://www.mathnet.ru/eng/smj/v59/i6/p1322
    • This publication is cited in the following 2 articles:
    1. V. N. Zhelyabin, “Embedding of jordan superalgebras into the superalgebras of jordan brackets”, Siberian Math. J., 61:1 (2020), 62–75  mathnet  crossref  crossref  isi
    2. A. S. Panasenko, “Sentral orders in simple finite dimensional superalgebras”, Sib. elektron. matem. izv., 17 (2020), 1027–1042  mathnet  crossref
    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:294
    Full-text PDF :58
    References:44
    First page:2
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025