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Algebra i logika, 2010, Volume 49, Number 3, Pages 388–423 (Mi al446)  

This article is cited in 16 scientific papers (total in 16 papers)

Isotopes of prime $(-1,1)$- and Jordan algebras

S. V. Pchelintsev

Finance Academy under the Government of the Russian Federation, Moscow, Russia
References:
Abstract: We deal with adjoint commutator and Jordan algebras of isotopes of prime strictly $(-1,1)$-algebras. It is proved that a system of identities of the form $[x_1,x_2,x_2,x_3,\dots,x_n]$ for $n=2,\dots,5$ is discernible on isotopes of prime $(-1,1)$-algebras. Also it is shown that adjoint Jordan algebras for suitable isotopes of prime $(-1,1)$-algebras may possess distinct sets of identities. In particular, isotopes of a prime Jordan monster have different sets of identities in general.
Keywords: right alternative algebra, strictly $(-1,1)$-algebra, Jordan algebra, prime algebra, isotope, homotope, identity, Lie nilpotence.
Received: 09.09.2009
English version:
Algebra and Logic, 2010, Volume 49, Issue 3, Pages 262–288
DOI: https://doi.org/10.1007/s10469-010-9095-4
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: S. V. Pchelintsev, “Isotopes of prime $(-1,1)$- and Jordan algebras”, Algebra Logika, 49:3 (2010), 388–423; Algebra and Logic, 49:3 (2010), 262–288
Citation in format AMSBIB
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\by S.~V.~Pchelintsev
\paper Isotopes of prime $(-1,1)$- and Jordan algebras
\jour Algebra Logika
\yr 2010
\vol 49
\issue 3
\pages 388--423
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2766396}
\zmath{https://zbmath.org/?q=an:1241.17035}
\elib{https://elibrary.ru/item.asp?id=15179329}
\transl
\jour Algebra and Logic
\yr 2010
\vol 49
\issue 3
\pages 262--288
\crossref{https://doi.org/10.1007/s10469-010-9095-4}
\elib{https://elibrary.ru/item.asp?id=15329141}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77955660970}
Linking options:
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  • https://www.mathnet.ru/eng/al/v49/i3/p388
  • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
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    References:73
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