  A nonassociative generalization of supersymmetry is studied, where
supersymmetry generators are considered to be the nonassociative ones.
Associators for the product of three and four multipliers are defined. Using a
special choice of the parameters, it is shown that the associator of the
product of four supersymmetry generators is connected with the angular momentum
operator. The connection of operator decomposition to the hidden variables
theory and alternative quantum mechanics is discussed.
