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 2, Pages 433–452
DOI: https://doi.org/10.17377/smzh.2018.59.217 (Mi smj2984) 		 
Prime algebras connected with monsters

S. V. Pchelintsevab

a Financial University Under the Government of the Russian Federation, Moscow, Russia
b Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (367 kB)
References:
PDF
HTML
DOI: https://doi.org/10.17377/smzh.2018.59.217
Abstract: We study the overalgebras and the ideals of the Jordan algebras possessing prime $(-1,1)$-envelopings. If a Jordan algebra possesses a prime nonassociative $(-1,1)$-enveloping then we prove that it is also prime; furthermore, its every ideal is a prime algebra. In particular, the overalgebras and metaideals of Jordan monsters are prime.
Keywords: Jordan algebra, $(-1,1)$-algebra, monster, prime algebra, metaideal.
Funding agency Grant number
Russian Science Foundation 14-21-00065
The author was supported by the Russian Science Foundation (Grant 14-21-00065).
Received: 23.05.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 2, Pages 341–356
DOI: https://doi.org/10.1134/S0037446618020179
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
MSC: 35R30
Language: Russian
Citation: S. V. Pchelintsev, “Prime algebras connected with monsters”, Sibirsk. Mat. Zh., 59:2 (2018), 433–452; Siberian Math. J., 59:2 (2018), 341–356
Citation in format AMSBIB
\Bibitem{Pch18}
\by S.~V.~Pchelintsev
\paper Prime algebras connected with monsters
\jour Sibirsk. Mat. Zh.
\yr 2018
\vol 59
\issue 2
\pages 433--452
\mathnet{http://mi.mathnet.ru/smj2984}
\crossref{https://doi.org/10.17377/smzh.2018.59.217}
\elib{https://elibrary.ru/item.asp?id=32817974}
\transl
\jour Siberian Math. J.
\yr 2018
\vol 59
\issue 2
\pages 341--356
\crossref{https://doi.org/10.1134/S0037446618020179}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000430858600017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85046695442}
Linking options:
  • https://www.mathnet.ru/eng/smj2984
  • https://www.mathnet.ru/eng/smj/v59/i2/p433
    • 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:177
    Full-text PDF :63
    References:25
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024