Abstract:
It is shown that a simple finite-dimensional right-alternative unital superalgebra with semisimple strongly associative even part over a field of characteristic $\ne 2$ is either non-associative, or a superalgebra of Abelian type. A classification of such superalgebras over an algebraically closed field is given.
Bibliography: 21 titles.
Keywords:simple superalgebra, right-alternative superalgebra, superalgebra of Abelian type.