  We investigate formal deformations of certain classes of nonassociative
algebras including classes of K[{\Sigma}3]-associative algebras, Lie-admissible
algebras and anti-associative algebras. In a process which is similar to
Poisson algebra for the associative case we identify for each type of algebra
(A, {\mu}), an algebra (A, {\mu}, {\psi}) such that the formal deformation
(A[[t]], {\mu}t) is the quantization deformation of (A, {\mu}, {\psi}). The
process of polarization/depolarization associate to each nonassociative algebra
a couple of algebras which products are respectively commutative and
skew-symmetric and is linked with the algebra obtained from the formal
deformation. The anti-associative case is developed with a link with the
Jacobi-Jordan algebras
