Simple finite-dimensional right-alternative unital superalgebras with associative-commutative even part over a field of characteristic zero

摘要

We study simple finite-dimensional right-alternative unital superalgebras over a field of characteristic zero. We prove that if the even part of a superalgebra is associative and commutative, then the superalgebra is of Abelian type. The classification of such superalgebras is known.