A Business Name is the name under which you trade, if not trading under your own name. The law obliges you to register this name for the purpose of public disclosure.
Registration does not give you exclusive rights/ownership of the name. Your Business Name can be registered by anyone in each of the other states. Trademark registration, if possible, will give you exclusive rights.
Prior to applying for a Business name or Company name, it is highly recommended that you ensure as much as possible, that your proposed name is not going to infringe upon any other organisations rights.
TradeMarks Australia™ can register Business names in your state on your behalf.
Further information or email info@trademarksaustralia.com.au