Its's very doubtfull they will requite it if you are an international customer, but if they do then a tax id is all you will need from your local authority. You won't need a registered company name. If they require a business name, use an eBay id or similar.
The only time that will be a problem is if they will not supply to online sellers, then you won't be able to use them unless you have an actual store front you trade from.