Business Area association to Cost centers

Hi,

The company's in different countries are configured as Business areas in the system and would like to know about the cost center hierarchy associtaion with the business area

Example:

001 Business area is for US

002 Business area is for China

In this scenario do we need to create a cost center "ADMIN" twice and assign them to Business Area 001 and other to Business Area 002.

Please advise

Thank you