Do the children of "zina" (fornication/adultery) or "urfi" marriage inherit? May Allah bless you.

The child of adultery inherits from his mother and she inherits from him, but he does not inherit from the fornicator (the biological father) nor does the fornicator inherit from him. As for the child resulting from an unregistered marriage (zawaj urfi) that fulfilled the conditions of a valid (shari) marriage, he inherits. Furthermore, in every marriage where the spouses believed it to be valid, even if one condition was lacking, the child born from it is legitimately attributed, and inheritance ensues.