The algebraic and geometric classification of right alternative superalgebras

Abstract The algebraic and geometric classifications of complex 3-dimensional right alternative superalgebras are given. As a byproduct, we have the algebraic and geometric classification of the variety of 3-dimensional $$\mathfrak {perm}$$ , binary $$\mathfrak {perm}$$ , associative, binary associative, (− 1,1)-, and binary (− 1,1)-superalgebras.