Some states, however, do have a term of office of the prime minister linked to the period in office of the parliament. Hence the Irish Taoiseach is formally 'renominated' after every general election. (Some constitutional experts have questioned whether this process is actually in keeping with the provisions of the Irish constitution, which appear to suggest that a taoiseach should remain in office, without the requirement of a renomination, unless s/he has clearly lost the general election.) The position of prime minister is normally chosen from the political party that commands majority of seats in the lower house of parliament.
When Ireland appoints a Taoiseach, who have they appointed?
prime minister