Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
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


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 1505–1523
DOI: https://doi.org/10.17377/semi.2017.14.130 (Mi semr889) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical logic, algebra and number theory

Alternative and Jordan algebras admitting ternary derivations with invertible values

V. N. Zhelyabin, A. I. Shestakov

Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
Full-text PDF (195 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.17377/semi.2017.14.130
Abstract: In this paper we prove analogues of H. Komatsu and A. Nakajima theorems (see [1]) for alternative and Jordan algebras. In particular, we give a description of alternative and Jordan algebras which have ternary derivations with invertible values.
Keywords: Alternative algebras, Jordan algebras, Cayley–Dickson algebra, Albert algebra, derivation, generalized derivation, ternary derivation.
Received October 23, 2017, published December 29, 2017
Bibliographic databases:
Document Type: Article
UDC: 512.554
MSC: 17C70
Language: English
Citation: V. N. Zhelyabin, A. I. Shestakov, “Alternative and Jordan algebras admitting ternary derivations with invertible values”, Sib. Èlektron. Mat. Izv., 14 (2017), 1505–1523
Citation in format AMSBIB
\Bibitem{ZheShe17}
\by V.~N.~Zhelyabin, A.~I.~Shestakov
\paper Alternative and Jordan algebras admitting ternary derivations with invertible values
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 1505--1523
\mathnet{http://mi.mathnet.ru/semr889}
\crossref{https://doi.org/10.17377/semi.2017.14.130}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000454861900061}
Linking options:
  • https://www.mathnet.ru/eng/semr889
  • https://www.mathnet.ru/eng/semr/v14/p1505
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:214
    Full-text PDF :62
    References:38
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024