2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/188856The 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.5 pagesSuperconductivityStrongly Correlated ElectronsHigh Energy Physics - Phenomenologytext