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, 2014, Volume 55, Number 2, Pages 396–411 (Mi smj2542)  
This article is cited in 8 scientific papers (total in 8 papers)

Degenerate alternative algebras

S. V. Pchelintsevab

a Finance Academy of the Government of the Russian Federation, Moscow, Russia
b Moscow City Pedagogical University, Moscow, Russia
Full-text PDF (353 kB) Citations (8)
References:
PDF
HTML
Abstract: We prove that each degenerate alternative algebra of characteristic $\ne2$ contains a nonzero ideal with an additive basis consisting of the absolute zero divisors of an arbitrary large order. As a corollary we establish the existence of infinitely many nonisomorphic commutative prime alternative algebras and existence of infinite series of strict and nonstrict exceptional alternative algebras with different sets of proper identities.
Keywords: alternative algebra, absolute zero divisor of an arbitrary order, exceptional prime algebra, C-operation, identity, alternative monster, isotope.
Received: 15.08.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 2, Pages 323–335
DOI: https://doi.org/10.1134/S0037446614020153
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
Language: Russian
Citation: S. V. Pchelintsev, “Degenerate alternative algebras”, Sibirsk. Mat. Zh., 55:2 (2014), 396–411; Siberian Math. J., 55:2 (2014), 323–335
Citation in format AMSBIB
\Bibitem{Pch14}
\by S.~V.~Pchelintsev
\paper Degenerate alternative algebras
\jour Sibirsk. Mat. Zh.
\yr 2014
\vol 55
\issue 2
\pages 396--411
\mathnet{http://mi.mathnet.ru/smj2542}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3237343}
\transl
\jour Siberian Math. J.
\yr 2014
\vol 55
\issue 2
\pages 323--335
\crossref{https://doi.org/10.1134/S0037446614020153}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000335167300015}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899678239}
Linking options:
  • https://www.mathnet.ru/eng/smj2542
  • https://www.mathnet.ru/eng/smj/v55/i2/p396
    • This publication is cited in the following 8 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:368
    Full-text PDF :90
    References:63
    First page:19
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024