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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Izvestiya: Mathematics, 2015, Volume 79, Issue 3, Pages 554–580
DOI: https://doi.org/10.1070/IM2015v079n03ABEH002753
(Mi im8251)
 

This article is cited in 21 scientific papers (total in 21 papers)

Simple finite-dimensional right-alternative superalgebras of Abelian type of characteristic zero

S. V. Pchelintseva, O. V. Shashkovb

a Financial University under the Government of the Russian Federation, Moscow
b Moscow State Regional Institute of Humanities
References:
Abstract: We classify simple finite-dimensional right-alternative superalgebras $A=A_0\oplus A_1$ over a field of characteristic zero in which the even part $A_0$ is associative and commutative, while $A_1$ is an associative $A_0$-bimodule. We prove that every such superalgebra $A=A_0\oplus A_1$ is obtained by doubling the semisimple even part $A_0$, and the multiplication in $A$ is defined using a suitable automorphism and a linear operator acting on $A_0$.
Keywords: simple superalgebra, right-alternative superalgebra.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00014
This research was supported by the Russian Foundation for Basic Research (grant no. 14-01-00014).
Received: 13.05.2014
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2015, Volume 79, Issue 3, Pages 131–158
DOI: https://doi.org/10.4213/im8251
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
MSC: 17A70, 17D15, 17D05
Language: English
Original paper language: Russian
Citation: S. V. Pchelintsev, O. V. Shashkov, “Simple finite-dimensional right-alternative superalgebras of Abelian type of characteristic zero”, Izv. RAN. Ser. Mat., 79:3 (2015), 131–158; Izv. Math., 79:3 (2015), 554–580
Citation in format AMSBIB
\Bibitem{PchSha15}
\by S.~V.~Pchelintsev, O.~V.~Shashkov
\paper Simple finite-dimensional right-alternative superalgebras of Abelian type of characteristic zero
\jour Izv. RAN. Ser. Mat.
\yr 2015
\vol 79
\issue 3
\pages 131--158
\mathnet{http://mi.mathnet.ru/im8251}
\crossref{https://doi.org/10.4213/im8251}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3397414}
\zmath{https://zbmath.org/?q=an:06470382}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2015IzMat..79..554P}
\elib{https://elibrary.ru/item.asp?id=23780147}
\transl
\jour Izv. Math.
\yr 2015
\vol 79
\issue 3
\pages 554--580
\crossref{https://doi.org/10.1070/IM2015v079n03ABEH002753}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000356834500005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84937690561}
Linking options:
  • https://www.mathnet.ru/eng/im8251
  • https://doi.org/10.1070/IM2015v079n03ABEH002753
  • https://www.mathnet.ru/eng/im/v79/i3/p131
  • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:634
    Russian version PDF:145
    English version PDF:10
    References:62
    First page:32
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024