  The operator constraint $f_{i\uparrow}^\dagger f_{i\uparrow} +
f_{i\downarrow}^\dagger f_{i\downarrow} + b^\dagger_{i} b_{i}= 1$ in t-J model
of High-T$_c$ superconductivity is considered. It is shown that the constraint
can be resolved by introdusing a non-associative operator. In this case the
constraint is an antiassociative generating relation of a new algebra. Similar
constraint is offered for splitting the gluon.
