Noncommutative Jordan superalgebras of degree $n>2$
Algebra i logika, Tome 49 (2010) no. 1, pp. 26-59

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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.
@article{AL_2010_49_1_a2,
     author = {A. P. Pozhidaev and I. P. Shestakov},
     title = {Noncommutative {Jordan} superalgebras of degree $n>2$},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2010_49_1_a2/}
}
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A. P. Pozhidaev; I. P. Shestakov. Noncommutative Jordan superalgebras of degree $n>2$. Algebra i logika, Tome 49 (2010) no. 1, pp. 26-59. http://geodesic.mathdoc.fr/item/AL_2010_49_1_a2/