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, 2016, Volume 57, Number 6, Pages 1262–1279
DOI: https://doi.org/10.17377/smzh.2016.57.606 (Mi smj2822) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Simple Jordan superalgebras with associative nil-semisimple even part

V. N. Zhelyabinab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (346 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.17377/smzh.2016.57.606
Abstract: Under study are the simple infinite-dimensional abelian Jordan superalgebras not isomorphic to the superalgebra of a bilinear form. We prove that the even part of such superalgebra is a differentially simple associative commutative algebra, and the odd part is a finitely generated projective module of rank 1. We describe unital simple Jordan superalgebras with associative nil-semisimple even part possessing two even elements which induce a nonzero derivation.
Keywords: Jordan superalgebra, superalgebra of vector type, Jordan bracket, 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: 15.02.2016
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 6, Pages 987–1001
DOI: https://doi.org/10.1134/S0037446616060069
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: V. N. Zhelyabin, “Simple Jordan superalgebras with associative nil-semisimple even part”, Sibirsk. Mat. Zh., 57:6 (2016), 1262–1279; Siberian Math. J., 57:6 (2016), 987–1001
Citation in format AMSBIB
\Bibitem{Zhe16}
\by V.~N.~Zhelyabin
\paper Simple Jordan superalgebras with associative nil-semisimple even part
\jour Sibirsk. Mat. Zh.
\yr 2016
\vol 57
\issue 6
\pages 1262--1279
\mathnet{http://mi.mathnet.ru/smj2822}
\crossref{https://doi.org/10.17377/smzh.2016.57.606}
\elib{https://elibrary.ru/item.asp?id=27380117}
\transl
\jour Siberian Math. J.
\yr 2016
\vol 57
\issue 6
\pages 987--1001
\crossref{https://doi.org/10.1134/S0037446616060069}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391768100006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85007110542}
Linking options:
  • https://www.mathnet.ru/eng/smj2822
  • https://www.mathnet.ru/eng/smj/v57/i6/p1262
    • This publication is cited in the following 9 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:391
    Full-text PDF :69
    References:63
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024