Abstract:
We classify simple finite-dimensional right-alternative superalgebras
$A=A_0\oplus A_1$ over a field of characteristic zero
in which the even part $A_0$ is associative and commutative,
while $A_1$ is an associative $A_0$-bimodule.
We prove that every such superalgebra $A=A_0\oplus A_1$
is obtained by doubling the semisimple even part $A_0$,
and the multiplication in $A$ is defined using
a suitable automorphism and a linear operator acting on $A_0$.