Parilmentary republic is a electoral system that is about voting on one figure. That will be the prime minister or president
The Parliament rules or is supreme over the head of state.
A republic is government is not direct representation. The people vote, then a group votes for the ruler or head of state.
States with parliamentary systems may be constitutional monarchies,
Where a monarch is the head of state while the head of government is almost always a member of legislature.
One of the commonly attributed advantages to parliamentary systems is that it is faster and easier to pass legislation, as the executive branch is formed by the direct or inderict support of the legislative branch.
Credits:
Created with images by Presidencia de la República Mexicana - "Visita de Estado del Presidente de la República Italiana, Sergio Mattarella"