How is the legal distribution of the inheritance carried out in a case where the father gifted his daughter a house and a car registered in her name, bought another house in her name for investment, and another house for his son to live in, knowing that the father believes the son's house is part of the general inheritance, and how can the rights of the mother, who owns nothing in her name, be guaranteed?

Merely writing down property in the name of one of his children or his wife does not establish ownership, especially if it is due to circumstances that prevent him from disposing of it. The phrase mentioned by the questioner, "after a long life," indicates a will, which is not inherited except with the consent of the heirs, based on the Prophet's (peace be upon him) saying: "There is no will for an heir."

If the father wishes to grant ownership to one of his children during his lifetime, he must treat them equally in the giving, based on the Prophet's (peace be upon him) saying: "Fear Allah and be just among your children." If he singles out some children for a gift without a legitimate Islamic reason, he commits a sin, and he must repent and rectify the favoritism. The father must be just among his children unless there is a legitimate Islamic reason, such as need, disability, or seeking knowledge.

If the father is unable to register his property in his own name and is forced to register it in the name of one of his children, he can write a document proving that this registration is superficial, with witnesses testifying to it.