uh what do you mean exactly? Are your referring to changing of last name (maiden name) after marriage? If so, then that's not obligatory. The Islamic tradition is for women to keep their maiden names, they don't have to take their husband's last name. And many Arab women i've noticed keep their maiden last name.
Right! and it is actually preferred by Prophet Mohammad ( PBUH) to keep their maiden name, meaning, being known by the the name of your father. Please correct me if I am wrong.