Empathy and Reciprocity are the roots of moral behavior, but human morality adds an important layer : a shared system of norms and values several members of a group can tap into and which functions as a sort of operating system for a specific community.
Empathy and Reciprocity are already active and present in chimps, but apes do not have morality, since they lack the mental capacity to create inter-subjective systems of norms which acquire a sort of "objectivity" when adopted and believed by many individuals.
After a person has adopted a specific moral norm, it becomes part of his/her identity, sometimes to an extent that people will give their life to defend this moral norm or these moral values, considering them sacred (whether they are just tribal or universal, like "human rights" ).