Is it permissible for a brother to disinherit his half-sister on the pretext that she has taken more than her due, and what is the ruling on the mother's approval of that, and is it permissible for the sister to give her deprived sister from her own money to avoid the mother's sin?

The land is owned by the mother. As for the construction built by the brothers at their own expense, its value, if demolished, belongs to them. You are not permitted to dispose of the land as long as the mother is alive. If the mother wishes to gift it, she has the right to do so, but she must be fair among her children, such that the male receives the equivalent of the share of two females. It is permissible to deprive the sister of the gift to the extent that she took more than her rightful share in her father's house, or due to her disobedience, because disobedience to the mother is a grave sin. However, it is preferable not to deprive her to avoid severing family ties and animosity. If the mother insists on depriving her, it is permissible for the inquiring sister to volunteer to pay her sister's full share. The inquirer has done well in her efforts to reconcile between the mother and her children.