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Algebra i logika, 2010, Volume 49, Number 1, Pages 26–59 (Mi al428)  
This article is cited in 13 scientific papers (total in 13 papers)

Noncommutative Jordan superalgebras of degree $n>2$

A. P. Pozhidaeva, I. P. Shestakovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Departamento de Matemática, Universidade de São Paulo, São Paulo-SEP, BRASIL
Full-text PDF (322 kB) Citations (13)
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Abstract: We prove a coordinatization theorem for noncommutative Jordan superalgebras of degree $n>2$, describing such algebras. It is shown that the symmetrized Jordan superalgebra for a simple finite-dimensional noncommutative Jordan superalgebra of characteristic 0 and degree $n>1$ is simple. Modulo a “nodal” case, we classify central simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0.
Keywords: noncommutative Jordan superalgebra, coordinatization theorem.
Received: 30.09.2009
English version:
Algebra and Logic, 2010, Volume 49, Issue 1, Pages 18–42
DOI: https://doi.org/10.1007/s10469-010-9077-6
Bibliographic databases:
Document Type: Article
UDC: 512.543.12
Language: Russian
Citation: A. P. Pozhidaev, I. P. Shestakov, “Noncommutative Jordan superalgebras of degree $n>2$”, Algebra Logika, 49:1 (2010), 26–59; Algebra and Logic, 49:1 (2010), 18–42
Citation in format AMSBIB
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\paper Noncommutative Jordan superalgebras of degree $n>2$
\jour Algebra Logika
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\issue 1
\pages 18--42
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    • This publication is cited in the following 13 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 :140
    References:60
    First page:13
     
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