Is it permissible to register money deposited in the bank in the name of the only daughter, after obtaining the consent of the legal heirs, represented by the father and mother, knowing that half of this money belongs to the wife due to her participation in saving?

There is no religious impediment for your father, mother, or other heirs to relinquish their share of your inheritance to your daughter or anyone else, provided that this occurs after your death and your daughter takes full, legal possession of the share. As for merely writing your properties in your daughter's name, this does not nullify the right of other heirs unless it is a complete gift fulfilling all conditions, such that you effectively relinquish control over the property and enable your daughter to dispose of it if she is competent to do so. Otherwise, you would take possession on her behalf, and this possession must occur before the donor's death-sickness. However, for a gift to a minor son who is not competent to manage his affairs, the legal possession is made by the father.