  In the work it is shown that the principles "the objective local theory" and
corollaries of the standard quantum mechanics are not in such antagonistic
inconsistency as it is usually supposed. In the framework of algebraic
approach, the postulates are formulated which allow constructing the updated
mathematical scheme of quantum mechanics. This scheme incorporates the standard
mathematical apparatus of quantum mechanics. Simultaneously, in it there is a
mathematical object, which adequately describes individual experiment.
