Simple finite-dimensional right-alternative superalgebras of Abelian type of characteristic zero

We classify simple finite-dimensional right-alternative superalgebras A = A(0) circle plus 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) circle plus 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).