Can you have a business checking account as ABC Sales dba Cheap Widgets and deposit checks made out to either name?

As far as I am aware, all states would require, in the example provided, ABC Sales to register Cheap Widgets as a fictitious or DBA name with the state business filing office. Once that is done, all banks I have dealt with have no problem with depositing checks made out to either name, as both are names are lawful for the business to use in conducting its business.