Differential algebras and simple Jordan superalgebras
Matematičeskie trudy, Tome 12 (2009) no. 2, pp. 41-51.

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In [14], a new example is constructed of a unital simple special Jordan superalgebra $J$ over the field of reals. It turns out that $J$ is a subsuperalgebra of a Jordan superalgebra of vector type but it cannot be isomorphic to a superalgebra of such a type. Moreover, the superalgebra of fractions of $J$ is isomorphic to a Jordan superalgebra of vector type. In the present article, we find a similar example of a Jordan superalgebra. It is constructed over a field of characteristic $0$ in which the equation $t^2+1=0$ has no solutions.
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V. N. Zhelyabin. Differential algebras and simple Jordan superalgebras. Matematičeskie trudy, Tome 12 (2009) no. 2, pp. 41-51. http://geodesic.mathdoc.fr/item/MT_2009_12_2_a1/

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