Using a business or company name
Set up and register the business | (1)
There are rules for choosing a business or company name. And there are rules for using one, too - explained here.
Remember, a business name is the name you trade under. Someone who is self employed (EG a sole trader) doesn't have to have a business name (you can trade under your own name, instead). A limited company can trade as itself, or under a business name.
Rules for displaying your name
If you do use a business name, there are rules you must follow. Essentially, you must disclose the name and address of the person or company behind the business name.
Rules for ...