  It is shown that the non-associative operators in a non-associative quantum
theory are unobservables. The observable quantity may be presented only by the
elements of some associative subalgebra. It is shown that the elements of the
associative subalgebra are extended objects that can be similar to strings. It
is assumed that the non-associative quantum field theory can be applied to the
quantization of strongly interacting fields. The method for obtaining field
equations in a non-associative case is given.
