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Algebra i logika, 2007, Volume 46, Number 5, Pages 585–605 (Mi al316)  
This article is cited in 32 scientific papers (total in 32 papers)

$\delta$-Derivations of simple finite-dimensional Jordan superalgebras

I. B. Kaygorodov

Novosibirsk State University
Full-text PDF (236 kB) Citations (32) English version article
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Abstract: We describe non-trivial $\delta$-derivations of semisimple finite-dimensional Jordan algebras over an algebraically closed field of characteristic not 2, and of simple finite-dimensional Jordan superalgebras over an a gebraically closed field of characteristic 0. For these classes of algebras and superalgebras, non-zero $\delta$-derivations are shown to be missing for $\delta\ne0,1/2,1$, and we give a complete account of 1/2-derivations.
Keywords: $\delta$-derivation, simple finite-dimensional Jordan superalgebra.
Received: 10.01.2007
English version:
Algebra and Logic, 2007, Volume 46, Issue 5, Pages 318–329
DOI: https://doi.org/10.1007/s10469-007-0032-0
Bibliographic databases:
UDC: 512.554
Language: Russian
Citation: I. B. Kaygorodov, “$\delta$-Derivations of simple finite-dimensional Jordan superalgebras”, Algebra Logika, 46:5 (2007), 585–605; Algebra and Logic, 46:5 (2007), 318–329
Citation in format AMSBIB
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\by I.~B.~Kaygorodov
\paper $\delta$-Derivations of simple finite-dimensional Jordan superalgebras
\jour Algebra Logika
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\vol 46
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\pages 585--605
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\transl
\jour Algebra and Logic
\yr 2007
\vol 46
\issue 5
\pages 318--329
\crossref{https://doi.org/10.1007/s10469-007-0032-0}
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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    Full-text PDF :175
    References:129
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